一类非线性波动方程新的精确孤立波解

journal6 ›› 2002, Vol. 23 ›› Issue (2): 56-58.

一类非线性波动方程新的精确孤立波解

(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)

出版日期:2002-06-15 发布日期:2013-01-05
作者简介:蔡红颖(1961-)，女，浙江省金华人，金华教育学院物理系副教授，主要从事非线性物理学研究.

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

(1.Department of Physics, Jinhua Education College, Jinhua 321000,Zhejiang China；2.College of Education Science and Technology, Zhejiang Normal University,Jinhua 321004,Zhejiang China)

Online:2002-06-15 Published:2013-01-05

摘要/Abstract

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，从而将非线性波动方程的求解问题转化为非线性代数方程组的求解问题.

关键词： 双曲函数方法, 非线性波动方程, 精确孤立波解

Abstract: 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.

Key words: hyperbolic function method, nonlinear evolution equation, exact travelling wave solution

蔡红颖, 郭冠平. 一类非线性波动方程新的精确孤立波解[J]. journal6, 2002, 23(2): 56-58.

CAI Hong-Ying, GUO Guan-Ping. New Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations[J]. journal6, 2002, 23(2): 56-58.