摘要
利用齐次平衡方法导出了浅水长波近似方程组的一个非线性函数变换，借助这个变换，只需解一个线性常系数偏微分方程，就可得到方程组的精确解．特别的。
A nonlinear function transformation of the approximate equations for long waves in shallow water is derived by using the homogeneous balance method; The exact solutions of the equations can be obtained though the solution of one linear equation by means of the transformation derived here. In particular, an explicitly solitary wave solution of the equations is obtained.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1998年第2期21-25,共5页
Journal of Lanzhou University(Natural Sciences)
基金
甘肃省自然科学基金
关键词
浅水长波
近似方程组
非线性函数变换
孤立波解
approximate equations for long waves in shallow water homogeneous balance method non linear function transformation exact solution of a solitary wave
