Numerical solution of coupled Schrödinger–KdV equation via modified variational iteration algorithm-II
This paper applied the modified variational iteration algorithm-II to obtain the numerical solution of coupled Schrödinger–KdV equation. For this purpose, we use the Jacobi periodic solution and Soliton solution as initial guess for a better approximation. Numerical results and comparison exact and...
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| Vydáno v: | SeMA journal Ročník 75; číslo 3; s. 499 - 516 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Springer International Publishing
01.09.2018
Springer Nature B.V |
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| ISSN: | 2254-3902, 2281-7875 |
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| Abstract | This paper applied the modified variational iteration algorithm-II to obtain the numerical solution of coupled Schrödinger–KdV equation. For this purpose, we use the Jacobi periodic solution and Soliton solution as initial guess for a better approximation. Numerical results and comparison exact and approximate solution have demonstrated that modified variational iteration algorithm-II is very effective and convenient for nonlinear equations, especially for the coupled Schrödinger–KdV equation. |
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| AbstractList | This paper applied the modified variational iteration algorithm-II to obtain the numerical solution of coupled Schrödinger–KdV equation. For this purpose, we use the Jacobi periodic solution and Soliton solution as initial guess for a better approximation. Numerical results and comparison exact and approximate solution have demonstrated that modified variational iteration algorithm-II is very effective and convenient for nonlinear equations, especially for the coupled Schrödinger–KdV equation. |
| Author | Safavi, Mostafa |
| Author_xml | – sequence: 1 givenname: Mostafa surname: Safavi fullname: Safavi, Mostafa email: mostafa.safavi@gmail.com organization: Department of Mathematics, Payame Noor University |
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| CitedBy_id | crossref_primary_10_1016_j_heliyon_2023_e15695 crossref_primary_10_1088_1402_4896_ace08b crossref_primary_10_1007_s40819_023_01488_5 crossref_primary_10_1002_mma_7270 |
| Cites_doi | 10.1007/s40324-016-0089-6 10.1088/0305-4470/35/32/306 10.1080/00207160.2010.496481 10.1515/IJNSNS.2007.8.2.153 10.1016/j.apm.2012.08.013 10.1007/s40324-016-0100-2 10.1016/j.cam.2010.11.010 10.1016/S0377-0427(03)00645-9 10.1007/s40324-017-0119-z 10.1016/j.chaos.2006.06.088 10.1016/j.cam.2006.07.009 10.5897/IJPS11.240 10.1007/s40819-017-0462-x 10.1016/S0045-7825(98)00109-1 10.1016/j.camwa.2011.12.066 10.20454/jmmnm.2016.1044 10.1016/j.scient.2012.04.012 10.1016/j.camwa.2009.06.009 10.1007/BF02856342 10.1007/978-94-015-8289-6 10.1016/j.camwa.2010.08.022 10.1017/S002237789800717X 10.5897/IJPS11.563 10.1515/zna-2010-1206 |
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| Keywords | Jacobi periodic solution Variational iteration method Soliton solution 35A15 Coupled Schrödinger–KdV equation 35Q99 47J35 |
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| References | Khan, Ayaz, Jin, Yildirim (CR26) 2011; 6 Safavi (CR16) 2013; 4 Usman, Yildirim, Mohyud-Din (CR24) 2011; 6 Fan (CR31) 2002; 35 Wu, Li (CR20) 2011; 88 Abassy (CR13) 2010; 59 He, Wu, Austin (CR21) 2010; 1 Kafasha, Delavarkhalafia, Karbassi (CR41) 2013; 37 Wazwaz (CR8) 1999; 102 Singh, Rao, Shukla (CR30) 1998; 60 Grau-Snchez, Noguera (CR1) 2017; 74 Malfliet (CR6) 2004; 164–165 Hirota, Bullogh, Caudrey (CR4) 1980 Deeba, Khuri, Xie (CR9) 2000; 115 Yusufoglu (CR34) 2007; 8 Javidi, Golbabai (CR38) 2008; 36 Rao (CR29) 1997; 49 Hijaz (CR22) 2018; 9 Khan, Wu (CR27) 2011; 61 Mohyud-Din, Yildirim, Usman (CR25) 2011; 6 Faraz, Khan, Austin (CR19) 2010; 65a Wazwaz (CR32) 1996; 77 Adomian (CR7) 1994 Akbarzade, Khan, Kargar (CR28) 2012; 7 Safavi, Khajehnasiri (CR11) 2015; 39 Wazwaz (CR17) 2009; 212 Wazwaz (CR33) 2002; 127 Safavi (CR10) 2018; 4 Pedregal (CR15) 2017; 74 Safavi (CR14) 2013; 2 He (CR36) 2000; 114 Hijaz (CR23) 2018; 9 Miura (CR3) 1978 Berkani, Manseur, Maidi (CR39) 2012; 64 Gu, Hu, Zhou (CR5) 1999 He (CR18) 2007; 207 He (CR35) 1998; 167 Biazar, Porshokouhi, Ghanbari, Porshokouhi (CR37) 2011; 235 Baghania, Fattahib, Amjadian (CR40) 2012; 19 El-Gamel, El-Hady (CR2) 2017; 74 Safavi, Khajehnasiri (CR12) 2016; 7 TA Abassy (147_CR13) 2010; 59 J Biazar (147_CR37) 2011; 235 JH He (147_CR18) 2007; 207 E Fan (147_CR31) 2002; 35 M Safavi (147_CR11) 2015; 39 A Hijaz (147_CR22) 2018; 9 M Akbarzade (147_CR28) 2012; 7 R Hirota (147_CR4) 1980 N Faraz (147_CR19) 2010; 65a BY Wu (147_CR20) 2011; 88 JH He (147_CR36) 2000; 114 G Adomian (147_CR7) 1994 M Safavi (147_CR10) 2018; 4 AM Wazwaz (147_CR33) 2002; 127 S Berkani (147_CR39) 2012; 64 AM Wazwaz (147_CR8) 1999; 102 M Safavi (147_CR14) 2013; 2 SV Singh (147_CR30) 1998; 60 JH He (147_CR35) 1998; 167 CH Gu (147_CR5) 1999 A Hijaz (147_CR23) 2018; 9 E Deeba (147_CR9) 2000; 115 B Kafasha (147_CR41) 2013; 37 ST Mohyud-Din (147_CR25) 2011; 6 JH He (147_CR21) 2010; 1 M Safavi (147_CR12) 2016; 7 M Safavi (147_CR16) 2013; 4 AM Wazwaz (147_CR32) 1996; 77 P Pedregal (147_CR15) 2017; 74 NA Khan (147_CR26) 2011; 6 W Malfliet (147_CR6) 2004; 164–165 M Grau-Snchez (147_CR1) 2017; 74 Y Khan (147_CR27) 2011; 61 M Usman (147_CR24) 2011; 6 NN Rao (147_CR29) 1997; 49 E Yusufoglu (147_CR34) 2007; 8 MR Miura (147_CR3) 1978 M Baghania (147_CR40) 2012; 19 AM Wazwaz (147_CR17) 2009; 212 M Javidi (147_CR38) 2008; 36 M El-Gamel (147_CR2) 2017; 74 |
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| Title | Numerical solution of coupled Schrödinger–KdV equation via modified variational iteration algorithm-II |
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