Auxiliary Equation Method and New Exact Solutions of BKP Equation

Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 159-164.

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)

Abstract

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

CLC Number:

O175.29

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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Auxiliary Equation Method and New Exact Solutions of BKP Equation

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