Variational iteration method for coupled nonlinear Schrödinger equations

Authors:
N. H. Sweilam;R. F. Al-Bar
Affiliations:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt;Department of Mathematics, Faculty of Science, Umm Al-Qura University, Saudi Arabia
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 4
Cited 3

Modulational instability in a defocussing coupled nonlinear Schro¨dinger system

Physica D
Necessary conditions for the appearance of noise terms in decomposition solutions series

Applied Mathematics and Computation
The evolution of periodic waves of the coupled nonlinear Schrödinger equations

Mathematics and Computers in Simulation
Variational iteration method for solving Burger's and coupled Burger's equations

Journal of Computational and Applied Mathematics

Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method

Mathematics and Computers in Simulation
A variational principle for coupled nonlinear Schrödinger equations with variable coefficients and high nonlinearity

Computers & Mathematics with Applications
Reliable approaches of variational iteration method for nonlinear operators

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, we apply the variational iteration method proposed by Ji-Huan He to simulate numerically a system of two coupled nonlinear one-dimensional Schrodinger equations subjected initially to a prescribed periodic wave solution. Test examples are given to demonstrate the accuracy and capability of the method with different wave-wave interaction coefficients. The accuracy of the method is verified by ensuring that the energy conservation remains almost constant. The numerical results obtained with a minimum amount of computation show that the variational iteration method is much easier, more convenient and efficient for solving nonlinear partial differential equations.