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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Bibliographic Details
Published in:SeMA journal Vol. 75; no. 3; pp. 499 - 516
Main Author: Safavi, Mostafa
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.09.2018
Springer Nature B.V
Subjects:
Algorithms
Applications of Mathematics
Iterative algorithms
Iterative methods
Korteweg-Devries equation
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear equations
Jacobi periodic solution
Variational iteration method
Soliton solution
35A15
Coupled Schrödinger–KdV equation
35Q99
47J35
ISSN:2254-3902, 2281-7875
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:2254-3902
2281-7875
DOI:10.1007/s40324-018-0147-3