任意方程法及BKP方程新的精确解

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 159-164.

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任意方程法及BKP方程新的精确解

1. College of Science,Donghua University2. Department of Mathematics and Computer Science,Xinyang Vocational and Technical College

收稿日期:2007-06-24 出版日期:2008-06-30 发布日期:2023-09-27
作者简介: MA Hong-cai(1972- ), male, native of Shanghai, a lecturer of Donghua University, Ph.D., engages in soliton and integrable system.
基金资助:
Supported by the National Natural Science Foundation of China(10647112)

Auxiliary Equation Method and New Exact Solutions of BKP Equation

1. College of Science,Donghua University2. Department of Mathematics and Computer Science,Xinyang Vocational and Technical College

Received:2007-06-24 Online:2008-06-30 Published:2023-09-27
About author: MA Hong-cai(1972- ), male, native of Shanghai, a lecturer of Donghua University, Ph.D., engages in soliton and integrable system.
Supported by:
Supported by the National Natural Science Foundation of China(10647112)

摘要/Abstract

摘要： In this paper, auxiliary equation method is proposed for constructing more general exact solutions of nonlinear partial differential equation with the aid of symbolic computation. We study the (2+1)-dimensional BKP equation and get a series of new types of traveling wave solutions. The method used here can be also extended to other nonlinear partial differential equations.

关键词: (2+1)-dimensional BKP equation, auxiliary equation method, traveling wave
solution, nonlinear

Abstract: In this paper, auxiliary equation method is proposed for constructing more general exact solutions of nonlinear partial differential equation with the aid of symbolic computation. We study the (2+1)-dimensional BKP equation and get a series of new types of traveling wave solutions. The method used here can be also extended to other nonlinear partial differential equations.

Key words: (2+1)-dimensional BKP equation, auxiliary equation method, traveling wave
solution, nonlinear

中图分类号:

O175.29

马红彩, 张娅莉, 邓爱平. 任意方程法及BKP方程新的精确解[J]. 数学季刊, 2008, 23(2): 159-164.

MA Hong-cai , ZHANG Ya-li , DENG Ai-ping. Auxiliary Equation Method and New Exact Solutions of BKP Equation[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 159-164.

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任意方程法及BKP方程新的精确解

Auxiliary Equation Method and New Exact Solutions of BKP Equation

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