利用同伦摄动法数值模拟两个非线性发展方程的行波解(英文)  

Numerical Simulation of the Travelling Wave Solutions for two Nonlinear Evolution Equations by Homotopy Perturbation Method

作　　者：额尔敦布和[1,2] 特木尔朝鲁[3] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]呼和浩特民族学院数理系,呼和浩特010051 [3]上海海事大学文理学院,上海200135

出　　处：《内蒙古大学学报（自然科学版）》2010年第3期248-255,共8页Journal of Inner Mongolia University：Natural Science Edition

基　　金：Supported by the Special Foundation of Doctoral Unit of the Ministry of Education of China(Grant No.20070128001);Scientific Research Innovation Project of Shanghai Education Committee(No.09YZ239);the College Science Research Project of Inner Mongolia(No.NJzy08180)~~

摘　　要：利用何的同伦摄动方法求解两个非线性发展方程-广义正则长波方程和Drinefel'd-Sokolov-Wilson方程.把由同伦摄动法模拟出的数值行波解与其对应精确解相比较,揭示得到的数值行波解是高精度的.该方法直接、简练,而且适用于数学物理中的其它非线性发展方程.He＇s homotopy perturbation method is used to solve two kinds of nonlinear evolution equations,the generalized regularized long wave equation and Drinefel＇d-Sokolov-Wilson equations.Numerical travelling wave solutions simulated by the homotopy perturbation method are compared with the exact solutions,revealing that the obtained solutions are of high accuracy.The method is straightforward and concise,and can also be applied to other nonlinear evolution equations in mathematical physics.

关 键 词：同伦摄动方法 广义正则长波方程 Drinefel'd-Sokolov-Wilson方程组 行波解 数值模拟 

分 类 号：O175.29[理学—数学] O189.23[理学—基础数学]