Homotopy Perturbation Method for Solving Nonlinear Differential- Difference Equations

作者：Mohamed M. Mousa, Aidarkhan Kaltayev · 发表于：Zeitschrift für Naturforschung A · 年份：2010 · 被引用次数：9 · 研究领域：Fractional Differential Equations Solutions、Nonlinear Waves and Solitons、Iterative Methods for Nonlinear Equations

In this paper, the homotopy perturbation method (HPM) is extended to obtain analytical solutions for some nonlinear differential-difference equations (NDDEs). The discretized modified Kortewegde Vries (mKdV) lattice equation and the discretized nonlinear Schrodinger equation are taken as examples to illustrate the validity and the great potential of the HPM in solving such NDDEs. Comparisons between the results of the presented method and exact solutions are made. The results reveal that the HPM is very effective and convenient for solving such kind of equations.