Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation
In this manuscript, the Lie point symmetries, conservation laws, and traveling wave reductions have all been derived. Also, new forms of soliton solutions of generalized q-deformed equation via means of unified method has been extracted. Implementing this approach the results of governing model are...
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| Published in: | Communications in nonlinear science & numerical simulation Vol. 116; p. 106824 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.01.2023
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| ISSN: | 1007-5704, 1878-7274 |
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| Abstract | In this manuscript, the Lie point symmetries, conservation laws, and traveling wave reductions have all been derived. Also, new forms of soliton solutions of generalized q-deformed equation via means of unified method has been extracted. Implementing this approach the results of governing model are obtained as rational and polynomial functions. The unified technique is used to analyze solitary solutions, soliton solutions, also periodic rational solutions. Additionally, to illustrate the various solitons’ propagation characteristics, several illustrations are used to display their statistical data. The bifurcation is introduced on the governing equation. The planer system has been extracted. Taking all possible cases for the parameters, the behavior has been shown by portraits in phase plane. The proposed equation has expanded modeling possibilities for complex processes with broken symmetry.
•The Lie point symmetries, conservation laws, and traveling wave reductions have been derived for the q-deformed Sinh Gordon model.•New soliton solutions are extracted for q-deformed Sinh Gordon model.•Qualitative analysis of model is studied by planer dynamical system.•All the obtained solutions are depicted graphically. |
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| AbstractList | In this manuscript, the Lie point symmetries, conservation laws, and traveling wave reductions have all been derived. Also, new forms of soliton solutions of generalized q-deformed equation via means of unified method has been extracted. Implementing this approach the results of governing model are obtained as rational and polynomial functions. The unified technique is used to analyze solitary solutions, soliton solutions, also periodic rational solutions. Additionally, to illustrate the various solitons’ propagation characteristics, several illustrations are used to display their statistical data. The bifurcation is introduced on the governing equation. The planer system has been extracted. Taking all possible cases for the parameters, the behavior has been shown by portraits in phase plane. The proposed equation has expanded modeling possibilities for complex processes with broken symmetry.
•The Lie point symmetries, conservation laws, and traveling wave reductions have been derived for the q-deformed Sinh Gordon model.•New soliton solutions are extracted for q-deformed Sinh Gordon model.•Qualitative analysis of model is studied by planer dynamical system.•All the obtained solutions are depicted graphically. |
| ArticleNumber | 106824 |
| Author | Salman, Farwa Butt, Asma Rashid Gandarias, María Luz Raza, Nauman |
| Author_xml | – sequence: 1 givenname: Nauman surname: Raza fullname: Raza, Nauman email: nauman.math@pu.edu.pk organization: Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan – sequence: 2 givenname: Farwa surname: Salman fullname: Salman, Farwa organization: Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan – sequence: 3 givenname: Asma Rashid surname: Butt fullname: Butt, Asma Rashid organization: Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan – sequence: 4 givenname: María Luz surname: Gandarias fullname: Gandarias, María Luz email: marialuz.gandarias@uca.es organization: Department of Mathematics, University of Cadiz, 11510, Puerto Real, Cadiz, Spain |
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| Cites_doi | 10.1016/j.physletb.2019.04.033 10.1080/09500340.2018.1442509 10.1088/0253-6102/71/4/362 10.1016/j.ijleo.2017.11.043 10.1016/j.nonrwa.2010.02.006 10.1016/j.ijleo.2016.03.041 10.1080/17455030.2018.1451009 10.1007/s10910-009-9588-3 10.1088/1402-4896/ac0f93 10.1155/2018/5242757 10.1016/S0375-9601(00)00725-8 10.1007/s11071-016-3183-5 10.1016/0022-247X(91)90267-4 10.1142/S0217984920504023 10.1016/j.asej.2020.03.018 10.1016/j.nonrwa.2008.09.029 10.1017/S095679250100465X 10.1007/978-0-387-68028-6 10.1103/PhysRevD.54.2801 10.1103/PhysRevLett.78.2869 10.1016/j.cnsns.2020.105349 10.1016/j.rinp.2021.103979 10.1007/BF01208894 10.1016/j.rinp.2022.105358 10.1080/09500340.2018.1480066 10.1016/j.rinp.2021.104171 10.1016/S0034-4877(13)60031-2 10.1088/0305-4470/34/20/302 10.1007/s11071-018-4571-9 10.1088/1674-1056/22/11/110301 10.1007/s00601-011-0238-5 10.1017/S0956792501004715 10.1016/j.asej.2020.10.030 10.2748/tmj/1215442875 |
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| Keywords | q-deformed sinh-Gordon equation Bifurcation Symmetries Invariant solution Exact solutions |
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| References | Eremenko (b6) 2019 Elmandouha, Ibrahim (b40) 2020; 14 Ablowitz, Clarkson (b20) 1991 Bluman, Cheviakov, Anco (b34) 2010; 168 Cseh (b25) 2019; 793 Arshad, Raza, Alansari (b9) 2021; 12 Anco (b35) 2017; 79 Raza, Rafiq, Kaplan, Kumar, chu (b1) 2021; 22 Olver (b33) 1986; vol. 107 Eleuch (b17) 2018 Yilmaz, Demirhan, Büyükkiliç (b28) 2010; 47 Sebawe Abdalla, Eleuch (b30) 2014; 115 Raza, Zubair (b3) 2018; 65 Wazwaz (b37) 2005; 169 Bokhari, Dweik, Zaman, Kara, Mahomed (b47) 2010; 11 Kaplan, Hosseini, Samadani, Raza (b11) 2018; 65 Eshghi, Mehraban (b31) 2012; 52 Arai (b23) 2001; 34 Vinita, Ray (b36) 2020; 34 Chai, Dymarsky, Smolkin (b26) 2021 Ma (b44) 2018; 11 Raza, Javaid (b8) 2019; 29 Tang, Liang (b49) 2017 Ali, Aty (b32) 2022 Anco, Bluman (b42) 2002; 13 Raza, Abdullah, Butt (b12) 2018; 157 Fan (b4) 2000; 277 Anco, Bluman (b41) 1997; 78 Aguilar, Osman, Raza, Zubair, Arshad, Ghoneim, Mahmoud, Haleem, Aty (b2) 2021; 11 Raza, Arshad, Alrebdi, Aty, Eleuch (b18) 2022; 35 Magalakwe, Muatjetjeja, Khalique (b51) 2015; 39A3 Arai (b22) 1991; 158 Raza, Jhangeer, Rehman, Butt, Chu (b15) 2021; 25 Kupershmidt, Wilson (b50) 1981; 81 Raza, Arshad (b7) 2020; 11 Raza, Jhangeer, Arshad, Butt, Chu (b38) 2020; 19 Sjöberg (b46) 2009; 10 Anco, Gandarias (b48) 2020; 91 B (b24) 2006 Sebawe Abdalla, Eleuch, Barakat (b29) 2013; 71 Wolf (b43) 2002; 13 Falaye, Oyewumi, Abbas (b27) 2013; 22 Hauswirth, Earp, Toubiana (b19) 2008; 60 Afzal, Raza, Murtaza (b10) 2019; 95 Raza, Osman, Aty, Khalek, Besbes (b14) 2020; 517 Larsen, Sanchez (b21) 1996; 54 Saha (b39) 2017; 87 Javid, Raza, Osman (b16) 2019; 71 Manafian, Lakestani (b5) 2016; 127 Sjöberg (b45) 2007; 184 Raza, Seadawy, Kaplan, Butt (b13) 2021; 96 Raza (10.1016/j.cnsns.2022.106824_b13) 2021; 96 Raza (10.1016/j.cnsns.2022.106824_b18) 2022; 35 Larsen (10.1016/j.cnsns.2022.106824_b21) 1996; 54 Olver (10.1016/j.cnsns.2022.106824_b33) 1986; vol. 107 Kupershmidt (10.1016/j.cnsns.2022.106824_b50) 1981; 81 Anco (10.1016/j.cnsns.2022.106824_b35) 2017; 79 Sebawe Abdalla (10.1016/j.cnsns.2022.106824_b30) 2014; 115 Vinita (10.1016/j.cnsns.2022.106824_b36) 2020; 34 Ma (10.1016/j.cnsns.2022.106824_b44) 2018; 11 Chai (10.1016/j.cnsns.2022.106824_b26) 2021 Eleuch (10.1016/j.cnsns.2022.106824_b17) 2018 Raza (10.1016/j.cnsns.2022.106824_b8) 2019; 29 Bluman (10.1016/j.cnsns.2022.106824_b34) 2010; 168 Raza (10.1016/j.cnsns.2022.106824_b15) 2021; 25 Eremenko (10.1016/j.cnsns.2022.106824_b6) 2019 Raza (10.1016/j.cnsns.2022.106824_b3) 2018; 65 Raza (10.1016/j.cnsns.2022.106824_b14) 2020; 517 Magalakwe (10.1016/j.cnsns.2022.106824_b51) 2015; 39A3 Cseh (10.1016/j.cnsns.2022.106824_b25) 2019; 793 Aguilar (10.1016/j.cnsns.2022.106824_b2) 2021; 11 Wazwaz (10.1016/j.cnsns.2022.106824_b37) 2005; 169 Tang (10.1016/j.cnsns.2022.106824_b49) 2017 Anco (10.1016/j.cnsns.2022.106824_b42) 2002; 13 Javid (10.1016/j.cnsns.2022.106824_b16) 2019; 71 Falaye (10.1016/j.cnsns.2022.106824_b27) 2013; 22 Kaplan (10.1016/j.cnsns.2022.106824_b11) 2018; 65 Sjöberg (10.1016/j.cnsns.2022.106824_b45) 2007; 184 Arai (10.1016/j.cnsns.2022.106824_b23) 2001; 34 Raza (10.1016/j.cnsns.2022.106824_b1) 2021; 22 Manafian (10.1016/j.cnsns.2022.106824_b5) 2016; 127 Raza (10.1016/j.cnsns.2022.106824_b38) 2020; 19 Fan (10.1016/j.cnsns.2022.106824_b4) 2000; 277 Yilmaz (10.1016/j.cnsns.2022.106824_b28) 2010; 47 Ablowitz (10.1016/j.cnsns.2022.106824_b20) 1991 B (10.1016/j.cnsns.2022.106824_b24) 2006 Anco (10.1016/j.cnsns.2022.106824_b41) 1997; 78 Afzal (10.1016/j.cnsns.2022.106824_b10) 2019; 95 Arshad (10.1016/j.cnsns.2022.106824_b9) 2021; 12 Saha (10.1016/j.cnsns.2022.106824_b39) 2017; 87 Raza (10.1016/j.cnsns.2022.106824_b7) 2020; 11 Bokhari (10.1016/j.cnsns.2022.106824_b47) 2010; 11 Ali (10.1016/j.cnsns.2022.106824_b32) 2022 Arai (10.1016/j.cnsns.2022.106824_b22) 1991; 158 Eshghi (10.1016/j.cnsns.2022.106824_b31) 2012; 52 Sebawe Abdalla (10.1016/j.cnsns.2022.106824_b29) 2013; 71 Sjöberg (10.1016/j.cnsns.2022.106824_b46) 2009; 10 Anco (10.1016/j.cnsns.2022.106824_b48) 2020; 91 Hauswirth (10.1016/j.cnsns.2022.106824_b19) 2008; 60 Elmandouha (10.1016/j.cnsns.2022.106824_b40) 2020; 14 Raza (10.1016/j.cnsns.2022.106824_b12) 2018; 157 Wolf (10.1016/j.cnsns.2022.106824_b43) 2002; 13 |
| References_xml | – year: 2021 ident: b26 article-title: A model of persistent breaking of discrete symmetry publication-title: High Energy Phys – volume: 22 year: 2013 ident: b27 article-title: Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov-Uvarov method publication-title: Chin Phys B – volume: 14 start-page: 139 year: 2020 end-page: 147 ident: b40 article-title: Bifurcation and travelling wave solutions for a (2+1)-dimensional KdV equation publication-title: J King Saud Univ-Sci – volume: 13 start-page: 545 year: 2002 end-page: 566 ident: b42 article-title: Direct construction method for conservation laws of partial differential equations. I. Examples of conservation law classifications publication-title: European J Appl Math – volume: 96 year: 2021 ident: b13 article-title: Symbolic computation and sensitivity analysis of nonlinear kudryashov’s dynamical equation with applications publication-title: Phys Scr – year: 2006 ident: b24 article-title: Topological defects and their homotopy classifiction publication-title: Encyclopedia of mathematical physics – volume: 47 start-page: 539 year: 2010 ident: b28 article-title: Solution of the Schrödinger equation for two q-deformed potentials by the SWKB method publication-title: J Math Chem – year: 2018 ident: b17 article-title: Some analytical solitary wave solutions for the generalized q-deformed Sinh-Gordon equation publication-title: Adv Math Phys – volume: 19 year: 2020 ident: b38 article-title: Dynamical analysis and phase portraits of two-mode waves in different media publication-title: Chaos – volume: 52 start-page: 41 year: 2012 end-page: 47 ident: b31 article-title: Solution of the Dirac equation with position-dependent mass for q-parameter modified pöschl-teller and coulomb-like tensor potential publication-title: Few-Body Syst – volume: 34 year: 2020 ident: b36 article-title: Optical soliton group invariant solutions by optimal system of Lie subalgebra with conservation laws of the resonance nonlinear Schrödinger equation publication-title: Mod Phys Lett B – volume: 91 year: 2020 ident: b48 article-title: Symmetry multi-reduction method for partial differential equations with conservation laws publication-title: Commun Nonlinear Sci Numer Simul – year: 2017 ident: b49 article-title: Nonlocal symmetries and conservation laws of the Sinh-Gordon equation publication-title: J Nonlinear Math Phys – volume: 39A3 start-page: 289 year: 2015 end-page: 296 ident: b51 article-title: Generalized double sinh-Gordon equation: Symmetry reductions, exact solutions and conservation laws publication-title: Iran J Sci Technol – volume: 12 start-page: 3091 year: 2021 end-page: 3098 ident: b9 article-title: Soliton solutions of the generalized Davey–Stewartson equation with full nonlinearities via three integrating schemes publication-title: Ain Shams Eng J – volume: 71 start-page: 362 year: 2019 ident: b16 article-title: Multi-solitons of thermophoretic motion equation depicting the wrinkle propagation in substrate-supported graphene sheets publication-title: Commun Theor Phys – volume: 54 start-page: 2801 year: 1996 end-page: 2807 ident: b21 article-title: Sinh-Gordon, Cosh-Gordon, and Liouville equations for strings and multistrings in constant curvature spacetimes publication-title: Phys Rev D – volume: 79 start-page: 119 year: 2017 end-page: 182 ident: b35 article-title: Generalization of Noether’s theorem in modern form to non-variational partial differential equations publication-title: Model Comput Sci – volume: 11 start-page: 1237 year: 2020 end-page: 1241 ident: b7 article-title: Chiral bright and dark soliton solutions of Schrödinger’s equation in (1 + 2)-dimensions publication-title: Ain Shams Eng J – volume: 184 start-page: 608 year: 2007 end-page: 616 ident: b45 article-title: Double reduction of PDEs from the association of symmetries with conservation laws with applications publication-title: Appl Math Comput – volume: 158 start-page: 63 year: 1991 end-page: 79 ident: b22 article-title: Exactly solvable supersymmetric quantum mechanics publication-title: J Math Anal Appl – year: 1991 ident: b20 article-title: Solitons, nonlinear evolution equations and inverse scattering – volume: 71 start-page: 217 year: 2013 end-page: 229 ident: b29 article-title: Exact analytical solutions of the wave function for some q-deformed potentials publication-title: Rep Math Phys – year: 2022 ident: b32 article-title: An extensive analytical and numerical study of the generalized q-deformed Sinh-Gordon equation publication-title: J Ocean Eng Sci – volume: 78 start-page: 2869 year: 1997 end-page: 2873 ident: b41 article-title: Direct construction of conservation laws from field equations publication-title: Phys Rev Lett – volume: 11 start-page: 3763 year: 2010 end-page: 3769 ident: b47 article-title: Generalization of the double reduction theory publication-title: Nonlinear Anal RWA – volume: 81 start-page: 189 year: 1981 end-page: 202 ident: b50 article-title: Conservation laws and symmetries of generalized Sine–Gordon equations publication-title: Comm Math Phys – volume: 65 year: 2018 ident: b11 article-title: Optical soliton solutions of the cubic-quintic non-linear Schrödinger’s equation including an anti-cubic term publication-title: J Modern Opt – volume: 29 year: 2019 ident: b8 article-title: Optical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrodinger’s equation publication-title: Waves Random Complex Media – volume: 169 year: 2005 ident: b37 publication-title: Appl Math Comput – volume: 65 year: 2018 ident: b3 article-title: Bright, dark and dark-singular soliton solutions of nonlinear Schrödinger’s equation with spatio-temporal dispersion publication-title: J Modern Opt – volume: 517 year: 2020 ident: b14 article-title: Optical solitons of space–time fractional Fokas-Lenells equation with two versatile integration architectures publication-title: Adv Differ Equ – volume: 168 year: 2010 ident: b34 article-title: Applications of symmetry methods to partial differential equations publication-title: Appl Math Sci – volume: 34 start-page: 4281 year: 2001 end-page: 4288 ident: b23 article-title: Exact solutions of multi-component nonlinear Schrödinger and Klein–Gordon equations in two-dimensional space–time publication-title: J Phys A – volume: 127 start-page: 5543 year: 2016 end-page: 5551 ident: b5 article-title: Abundant soliton solutions for the Kundu–Eckhaus equation via publication-title: Optik – volume: 115 year: 2014 ident: b30 article-title: Exact analytic solutions of the Schrödinger equations for some modified q-deformed potentials publication-title: J Appl Phys – volume: vol. 107 year: 1986 ident: b33 publication-title: Applications of lie groups to differential equations – volume: 10 start-page: 3472 year: 2009 end-page: 3477 ident: b46 article-title: On double reduction from symmetries and conservation laws publication-title: Nonlinear Anal RWA – volume: 11 year: 2021 ident: b2 article-title: Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures publication-title: AIP Adv – volume: 11 start-page: 707 year: 2018 end-page: 721 ident: b44 article-title: Conservation laws by symmetries and adjoint symmetries publication-title: Discrete Contin Dyn Syst – volume: 60 start-page: 267 year: 2008 end-page: 286 ident: b19 article-title: Associate and conjugate minimal immersions in publication-title: Tohoku Math J – volume: 35 year: 2022 ident: b18 article-title: Abundant new optical soliton solutions related to q-deformed Sinh-Gordon model using two innovative integration architectures publication-title: Results Phys – year: 2019 ident: b6 article-title: Soliton nature’ book preprint chapter 1, Translation wave of John Scott Russell – volume: 157 start-page: 993 year: 2018 end-page: 1002 ident: b12 article-title: Analytical soliton solutions of Biswas-Milovic equation in Kerr and non-Kerr law media publication-title: Optik – volume: 13 start-page: 129 year: 2002 end-page: 152 ident: b43 article-title: A comparison of four approaches to the calculation of conservation laws publication-title: European J Appl Math – volume: 277 start-page: 212 year: 2000 end-page: 218 ident: b4 article-title: Extended tanh-function method and its applications to nonlinear equations publication-title: Phys Lett A – volume: 25 year: 2021 ident: b15 article-title: Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis publication-title: Results Phys – volume: 87 start-page: 2193 year: 2017 end-page: 2201 ident: b39 article-title: Bifurcation, periodic and chaotic motions of the modified equal width-Burgers (MEW-Burgers) equation with external periodic perturbation publication-title: Nonlinear Dynam – volume: 793 start-page: 59 year: 2019 end-page: 64 ident: b25 article-title: Spontaneous symmetry-breaking in Elliott-type models and the nuclear deformation publication-title: Phys Lett B – volume: 95 start-page: 391 year: 2019 end-page: 405 ident: b10 article-title: On soliton solutions of time fractional form of Sawada–Kotera equation publication-title: Nonlinear Dynam – volume: 22 year: 2021 ident: b1 article-title: The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations publication-title: Results Phys – year: 2019 ident: 10.1016/j.cnsns.2022.106824_b6 – volume: 793 start-page: 59 year: 2019 ident: 10.1016/j.cnsns.2022.106824_b25 article-title: Spontaneous symmetry-breaking in Elliott-type models and the nuclear deformation publication-title: Phys Lett B doi: 10.1016/j.physletb.2019.04.033 – volume: vol. 107 year: 1986 ident: 10.1016/j.cnsns.2022.106824_b33 – volume: 65 issue: 12 year: 2018 ident: 10.1016/j.cnsns.2022.106824_b11 article-title: Optical soliton solutions of the cubic-quintic non-linear Schrödinger’s equation including an anti-cubic term publication-title: J Modern Opt doi: 10.1080/09500340.2018.1442509 – volume: 71 start-page: 362 issue: 4 year: 2019 ident: 10.1016/j.cnsns.2022.106824_b16 article-title: Multi-solitons of thermophoretic motion equation depicting the wrinkle propagation in substrate-supported graphene sheets publication-title: Commun Theor Phys doi: 10.1088/0253-6102/71/4/362 – volume: 157 start-page: 993 year: 2018 ident: 10.1016/j.cnsns.2022.106824_b12 article-title: Analytical soliton solutions of Biswas-Milovic equation in Kerr and non-Kerr law media publication-title: Optik doi: 10.1016/j.ijleo.2017.11.043 – volume: 19 year: 2020 ident: 10.1016/j.cnsns.2022.106824_b38 article-title: Dynamical analysis and phase portraits of two-mode waves in different media publication-title: Chaos – volume: 11 start-page: 3763 issue: 5 year: 2010 ident: 10.1016/j.cnsns.2022.106824_b47 article-title: Generalization of the double reduction theory publication-title: Nonlinear Anal RWA doi: 10.1016/j.nonrwa.2010.02.006 – volume: 127 start-page: 5543 issue: 14 year: 2016 ident: 10.1016/j.cnsns.2022.106824_b5 article-title: Abundant soliton solutions for the Kundu–Eckhaus equation via tan(ϕ(ξ))-expansion method publication-title: Optik doi: 10.1016/j.ijleo.2016.03.041 – volume: 29 issue: 3 year: 2019 ident: 10.1016/j.cnsns.2022.106824_b8 article-title: Optical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrodinger’s equation publication-title: Waves Random Complex Media doi: 10.1080/17455030.2018.1451009 – volume: 47 start-page: 539 year: 2010 ident: 10.1016/j.cnsns.2022.106824_b28 article-title: Solution of the Schrödinger equation for two q-deformed potentials by the SWKB method publication-title: J Math Chem doi: 10.1007/s10910-009-9588-3 – year: 2022 ident: 10.1016/j.cnsns.2022.106824_b32 article-title: An extensive analytical and numerical study of the generalized q-deformed Sinh-Gordon equation publication-title: J Ocean Eng Sci – volume: 14 start-page: 139 year: 2020 ident: 10.1016/j.cnsns.2022.106824_b40 article-title: Bifurcation and travelling wave solutions for a (2+1)-dimensional KdV equation publication-title: J King Saud Univ-Sci – volume: 96 issue: 10 year: 2021 ident: 10.1016/j.cnsns.2022.106824_b13 article-title: Symbolic computation and sensitivity analysis of nonlinear kudryashov’s dynamical equation with applications publication-title: Phys Scr doi: 10.1088/1402-4896/ac0f93 – volume: 517 year: 2020 ident: 10.1016/j.cnsns.2022.106824_b14 article-title: Optical solitons of space–time fractional Fokas-Lenells equation with two versatile integration architectures publication-title: Adv Differ Equ – year: 2018 ident: 10.1016/j.cnsns.2022.106824_b17 article-title: Some analytical solitary wave solutions for the generalized q-deformed Sinh-Gordon equation publication-title: Adv Math Phys doi: 10.1155/2018/5242757 – year: 2021 ident: 10.1016/j.cnsns.2022.106824_b26 article-title: A model of persistent breaking of discrete symmetry publication-title: High Energy Phys – volume: 277 start-page: 212 issue: 4–5 year: 2000 ident: 10.1016/j.cnsns.2022.106824_b4 article-title: Extended tanh-function method and its applications to nonlinear equations publication-title: Phys Lett A doi: 10.1016/S0375-9601(00)00725-8 – volume: 87 start-page: 2193 year: 2017 ident: 10.1016/j.cnsns.2022.106824_b39 article-title: Bifurcation, periodic and chaotic motions of the modified equal width-Burgers (MEW-Burgers) equation with external periodic perturbation publication-title: Nonlinear Dynam doi: 10.1007/s11071-016-3183-5 – volume: 158 start-page: 63 issue: 1 year: 1991 ident: 10.1016/j.cnsns.2022.106824_b22 article-title: Exactly solvable supersymmetric quantum mechanics publication-title: J Math Anal Appl doi: 10.1016/0022-247X(91)90267-4 – volume: 11 start-page: 707 issue: 4 year: 2018 ident: 10.1016/j.cnsns.2022.106824_b44 article-title: Conservation laws by symmetries and adjoint symmetries publication-title: Discrete Contin Dyn Syst – volume: 34 issue: 35 year: 2020 ident: 10.1016/j.cnsns.2022.106824_b36 article-title: Optical soliton group invariant solutions by optimal system of Lie subalgebra with conservation laws of the resonance nonlinear Schrödinger equation publication-title: Mod Phys Lett B doi: 10.1142/S0217984920504023 – volume: 11 start-page: 1237 issue: 4 year: 2020 ident: 10.1016/j.cnsns.2022.106824_b7 article-title: Chiral bright and dark soliton solutions of Schrödinger’s equation in (1 + 2)-dimensions publication-title: Ain Shams Eng J doi: 10.1016/j.asej.2020.03.018 – volume: 10 start-page: 3472 year: 2009 ident: 10.1016/j.cnsns.2022.106824_b46 article-title: On double reduction from symmetries and conservation laws publication-title: Nonlinear Anal RWA doi: 10.1016/j.nonrwa.2008.09.029 – volume: 11 issue: 2 year: 2021 ident: 10.1016/j.cnsns.2022.106824_b2 article-title: Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures publication-title: AIP Adv – volume: 13 start-page: 545 year: 2002 ident: 10.1016/j.cnsns.2022.106824_b42 article-title: Direct construction method for conservation laws of partial differential equations. I. Examples of conservation law classifications publication-title: European J Appl Math doi: 10.1017/S095679250100465X – volume: 168 year: 2010 ident: 10.1016/j.cnsns.2022.106824_b34 article-title: Applications of symmetry methods to partial differential equations publication-title: Appl Math Sci doi: 10.1007/978-0-387-68028-6 – year: 2006 ident: 10.1016/j.cnsns.2022.106824_b24 article-title: Topological defects and their homotopy classifiction – volume: 54 start-page: 2801 issue: 4 year: 1996 ident: 10.1016/j.cnsns.2022.106824_b21 article-title: Sinh-Gordon, Cosh-Gordon, and Liouville equations for strings and multistrings in constant curvature spacetimes publication-title: Phys Rev D doi: 10.1103/PhysRevD.54.2801 – volume: 169 year: 2005 ident: 10.1016/j.cnsns.2022.106824_b37 publication-title: Appl Math Comput – volume: 78 start-page: 2869 year: 1997 ident: 10.1016/j.cnsns.2022.106824_b41 article-title: Direct construction of conservation laws from field equations publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.78.2869 – volume: 91 year: 2020 ident: 10.1016/j.cnsns.2022.106824_b48 article-title: Symmetry multi-reduction method for partial differential equations with conservation laws publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2020.105349 – volume: 39A3 start-page: 289 year: 2015 ident: 10.1016/j.cnsns.2022.106824_b51 article-title: Generalized double sinh-Gordon equation: Symmetry reductions, exact solutions and conservation laws publication-title: Iran J Sci Technol – volume: 115 issue: 23 year: 2014 ident: 10.1016/j.cnsns.2022.106824_b30 article-title: Exact analytic solutions of the Schrödinger equations for some modified q-deformed potentials publication-title: J Appl Phys – volume: 22 year: 2021 ident: 10.1016/j.cnsns.2022.106824_b1 article-title: The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations publication-title: Results Phys doi: 10.1016/j.rinp.2021.103979 – volume: 81 start-page: 189 year: 1981 ident: 10.1016/j.cnsns.2022.106824_b50 article-title: Conservation laws and symmetries of generalized Sine–Gordon equations publication-title: Comm Math Phys doi: 10.1007/BF01208894 – year: 2017 ident: 10.1016/j.cnsns.2022.106824_b49 article-title: Nonlocal symmetries and conservation laws of the Sinh-Gordon equation publication-title: J Nonlinear Math Phys – year: 1991 ident: 10.1016/j.cnsns.2022.106824_b20 – volume: 35 year: 2022 ident: 10.1016/j.cnsns.2022.106824_b18 article-title: Abundant new optical soliton solutions related to q-deformed Sinh-Gordon model using two innovative integration architectures publication-title: Results Phys doi: 10.1016/j.rinp.2022.105358 – volume: 184 start-page: 608 year: 2007 ident: 10.1016/j.cnsns.2022.106824_b45 article-title: Double reduction of PDEs from the association of symmetries with conservation laws with applications publication-title: Appl Math Comput – volume: 65 issue: 17 year: 2018 ident: 10.1016/j.cnsns.2022.106824_b3 article-title: Bright, dark and dark-singular soliton solutions of nonlinear Schrödinger’s equation with spatio-temporal dispersion publication-title: J Modern Opt doi: 10.1080/09500340.2018.1480066 – volume: 79 start-page: 119 year: 2017 ident: 10.1016/j.cnsns.2022.106824_b35 article-title: Generalization of Noether’s theorem in modern form to non-variational partial differential equations publication-title: Model Comput Sci – volume: 25 year: 2021 ident: 10.1016/j.cnsns.2022.106824_b15 article-title: Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis publication-title: Results Phys doi: 10.1016/j.rinp.2021.104171 – volume: 71 start-page: 217 issue: 2 year: 2013 ident: 10.1016/j.cnsns.2022.106824_b29 article-title: Exact analytical solutions of the wave function for some q-deformed potentials publication-title: Rep Math Phys doi: 10.1016/S0034-4877(13)60031-2 – volume: 34 start-page: 4281 issue: 20 year: 2001 ident: 10.1016/j.cnsns.2022.106824_b23 article-title: Exact solutions of multi-component nonlinear Schrödinger and Klein–Gordon equations in two-dimensional space–time publication-title: J Phys A doi: 10.1088/0305-4470/34/20/302 – volume: 95 start-page: 391 year: 2019 ident: 10.1016/j.cnsns.2022.106824_b10 article-title: On soliton solutions of time fractional form of Sawada–Kotera equation publication-title: Nonlinear Dynam doi: 10.1007/s11071-018-4571-9 – volume: 22 issue: 11 year: 2013 ident: 10.1016/j.cnsns.2022.106824_b27 article-title: Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov-Uvarov method publication-title: Chin Phys B doi: 10.1088/1674-1056/22/11/110301 – volume: 52 start-page: 41 issue: 1–2 year: 2012 ident: 10.1016/j.cnsns.2022.106824_b31 article-title: Solution of the Dirac equation with position-dependent mass for q-parameter modified pöschl-teller and coulomb-like tensor potential publication-title: Few-Body Syst doi: 10.1007/s00601-011-0238-5 – volume: 13 start-page: 129 year: 2002 ident: 10.1016/j.cnsns.2022.106824_b43 article-title: A comparison of four approaches to the calculation of conservation laws publication-title: European J Appl Math doi: 10.1017/S0956792501004715 – volume: 12 start-page: 3091 issue: 3 year: 2021 ident: 10.1016/j.cnsns.2022.106824_b9 article-title: Soliton solutions of the generalized Davey–Stewartson equation with full nonlinearities via three integrating schemes publication-title: Ain Shams Eng J doi: 10.1016/j.asej.2020.10.030 – volume: 60 start-page: 267 issue: 2 year: 2008 ident: 10.1016/j.cnsns.2022.106824_b19 article-title: Associate and conjugate minimal immersions in MxR publication-title: Tohoku Math J doi: 10.2748/tmj/1215442875 |
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| Title | Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation |
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