广度kdv方程的精确解:改进的齐次平衡法

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 260-269.

广度kdv方程的精确解:改进的齐次平衡法

1. Foundation Department,Henan Mechanical and Electrical Engineering College 2. College of Mechanical and Electronic,Kaifeng University

收稿日期:2007-01-14 出版日期:2008-06-30 发布日期:2023-10-09
作者简介: WANG Xiu-mei(1964-), female, native of Xinxiang, Henan, an associate professor of Henan Mechanical and Electrical Engineering College, engages in foundation mathematics.
基金资助:
Supported by the National Natural Science Foundation of China(10671182); Supported
by the Foundation and Frontier Technology Research of Henan(082300410060)

Exact Solutions for the Generalized KdV Equation: Modified Homogeneous Balance Method

1. Foundation Department,Henan Mechanical and Electrical Engineering College 2. College of Mechanical and Electronic,Kaifeng University

Received:2007-01-14 Online:2008-06-30 Published:2023-10-09
About author: WANG Xiu-mei(1964-), female, native of Xinxiang, Henan, an associate professor of Henan Mechanical and Electrical Engineering College, engages in foundation mathematics.
Supported by:
Supported by the National Natural Science Foundation of China(10671182); Supported
by the Foundation and Frontier Technology Research of Henan(082300410060)

摘要/Abstract

摘要： 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.

关键词: generalized KdV equation, modified homogeneous balance method, exact solutions

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.

Key words: generalized KdV equation, modified homogeneous balance method, exact solutions

中图分类号:

O175.29

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): 260-269.

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): 260-269.

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