Numerical solution of coupled Schrödinger-KdV equation via modified variational iteration algorithm-II

DOI10.1007/s40324-018-0147-3zbMath1414.35193OpenAlexW2789793016MaRDI QIDQ1735722

Mostafa Safavi

Publication date: 28 March 2019

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-018-0147-3

zbMATH Keywords

soliton solutionvariational iteration methodcoupled Schrödinger-KdV equationJacobi periodic solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Nonlinear evolution equations (47J35) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Application of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation ⋮ Truly nonlinear oscillator with limit cycles and harmonic solutions

Cites Work

• Unnamed Item
• Application of variational iteration method for Hamilton-Jacobi-Bellman equations
• Numerical solution of functional integral equations by the variational iteration method
• Homotopy perturbation transform method for nonlinear equations using He's polynomials
• Optimal control based on the variational iteration method
• Solutions of the Rakib-Sivashinsky equation with time-and space-fractional derivatives
• Improved Adomian decomposition method
• Variational iteration method -- some recent results and new interpretations
• The variational iteration method for analytic treatment for linear and nonlinear ODEs
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
• Numerical solution of the Bagley-Torvik equation by Legendre-collocation method
• A multidimensional generalization of some classes of free-derivative iterative methods to solve nonlinear equations
• Solutions of 1-D dispersive equation with time and space-fractional derivatives
• Variational methods for non-variational problems
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• A reliable treatment for mixed Volterra-Fredholm integral equations
• Two methods for solving integral equations
• Exact and numerical solitary wave solutions of generalized Zakharov equation by the variational iteration method
• Second-order two-point boundary value problems using the variational iteration algorithm-II
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
• DISCRETIZATION OF COUPLED SOLITON EQUATIONS
• Solutions of the modified Kawahara equation with time-and space-fractional derivatives
• Variational iteration method for autonomous ordinary differential systems
• An algorithm for solving a nonlinear integro-differential equation

This page was built for publication: Numerical solution of coupled Schrödinger-KdV equation via modified variational iteration algorithm-II