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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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation Vol. 116; p. 106824
Main Authors: Raza, Nauman, Salman, Farwa, Butt, Asma Rashid, Gandarias, María Luz
Format: Journal Article
Language:English
Published: Elsevier B.V 01.01.2023
Subjects:
Bifurcation
Exact solutions
Invariant solution
q-deformed sinh-Gordon equation
Symmetries
q-deformed sinh-Gordon equation
Bifurcation
Symmetries
Invariant solution
Exact solutions
ISSN:1007-5704, 1878-7274
Online Access:Get full text
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Summary: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.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2022.106824