用辅助常微分方程求解复合KdV方程的行波解(英文)  

Travelling Wave Solutions for the Compound KdV Equation by Using a Sub-ODE Method

作　　者：席忠红[1] 李海翼[1] 

机构地区：[1]甘肃民族师范学院物理与水电工程系,甘肃合作747000

出　　处：《应用数学》2013年第4期876-880,共5页Mathematica Applicata

基　　金：Supported by the Foundation of President of Gansu Normal University for Nationalities (12-17)

摘　　要：利用辅助常微分方程得到复合KdV方程的精确行波解.辅助常微分方程法的核心思路是:部分复杂非线性波动方程的行波解可以通过求解一些简单的、可解的微分方程——辅助常微分方程的方法得到解决.The exact travelling wave solutions for the compound KdV equation are obtained by using a subsidiary ordinary differential equation method（sub-ODE method for short）. The key ideas of the sub-ODE method are that the traveling wave solutions of a complicated nonlinear wave equation can be constructed by means of the solutions of some simple and solvable ODEs which are called sub-ODEs.

关 键 词：复合KdV方程 非线性偏微分方程 辅助微分方程 行波解 非线性微分方程 

分 类 号：O411.1[理学—理论物理]