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KdV方程的新精确孤波解
引用本文:郭冠平. KdV方程的新精确孤波解[J]. 青海师专学报, 2007, 27(5): 68-71
作者姓名:郭冠平
作者单位:浙江师范大学田家炳教育学院,浙江金华321004
摘    要:采用一种辅助方程的方法给出KdV方程的精确孤波解.这种方法也可用于寻找其他非线性演化方程的孤波解.

关 键 词:辅助方程  KdV方程  孤波解
文章编号:1007-0117(2007)05-0068-04
修稿时间:2007-03-12

New Exact Solitary Wave Solutions to the KdV Equation
GUO Guan-ping. New Exact Solitary Wave Solutions to the KdV Equation[J]. Journal of Qinghai Junior Teachers' College, 2007, 27(5): 68-71
Authors:GUO Guan-ping
Affiliation:K. P. Tin College of Education ,Zhejiang Normal University ,Jinhua Zhejiang 321004, China
Abstract:In this paper, several new exact solitary wave solutions to the KdV equations are constructed explicitly by combined use of a hyperbokic function assumption and a new auxiliary ordinary differential equation. This method also can be used to find new solitary wave solutions to other nonlinear evolution equations.
Keywords:auxiliary equation   KdV equation   solitary wave solution
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