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广度kdv方程的精确解:改进的齐次平衡法
引用本文:王秀梅,朱跃峰.广度kdv方程的精确解:改进的齐次平衡法[J].数学季刊,2008,23(2).
作者姓名:王秀梅  朱跃峰
作者单位:王秀梅,WANG Xiu-mei(Foundation Department,Henan Mechanical and Electrical Engineering College,Xinxiang 453002,China);朱跃峰,ZHU Yue-feng(College of Mechanical and Electronic,Kaifeng University,Kaifeng 475004,China) 
基金项目:国家自然科学基金,the Foundation and Frontier Technology Research of Henan 
摘    要:

关 键 词:广度kdv方程  精确解  齐次平衡法  数学分析

Exact Solutions for the Generalized KdV Equation:Modified Homogeneous Balance Method
WANG Xiu-mei,ZHU Yue-feng.Exact Solutions for the Generalized KdV Equation:Modified Homogeneous Balance Method[J].Chinese Quarterly Journal of Mathematics,2008,23(2).
Authors:WANG Xiu-mei  ZHU Yue-feng
Institution:[1]Foundation Department, Henan Mechanical and Electrical Engineering College, Xinxiang 453002, China [2]College of Mechanical and Electronic, Kaifeng University, Kaifeng 475004, China
Abstract:In this paper,we present a solution methodology to obtain exact solutions of some nonlinear evolution equation by modifying the homogeneous balance method.Based on the modified homogeneous balance method,several kinds of exact(new)solutions of the generalized KdV equation are obtained.
Keywords:generalized KdV equation  modified homogeneous balance method  exact solutions
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