一类非线性波动方程新的精确孤立波解  

New Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

作　　者：蔡红颖 郭冠平[2] 

机构地区：[1]金华教育学院物理系,浙江金华321004 [2]浙江师范大学教育科学与技术学院,浙江金华321004

出　　处：《吉首大学学报（自然科学版）》2002年第2期56-58,81,共4页Journal of Jishou University(Natural Sciences Edition)

摘　　要：利用双曲函数方法求解一类非线性波动方程的精确行波解 ,得到了若干其它方法不曾给出的新的精确解 .这种方法的基本原理是利用非线性波方程孤立波解的局部特点 ,将方程的孤立波解表示为双曲函数的多项式 。The hyperbolic function method has been used to study new exact travelling wave solutions for a class of nonlinear evolution equation. The basic idea of this method is based on the fact that solitary wave solution of the nonlinear evolution equations is essentially of a localized property.Because the travelling wave solution can assum the polynomial form of the hyperbolic functions, the resultant solutions are obtained by solving a systems of nonlinear algebraic equations.

关 键 词：双曲函数方法 非线性波动方程 精确孤立波解 精确行波解 非线性 代数方程组 

分 类 号：O175.29[理学—数学] O241.82[理学—基础数学]