任意方程法及BKP方程新的精确解

任意方程法及BKP方程新的精确解

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.

作 者： 马红彩 张娅莉 邓爱平 MA Hong-cai ZHANG Ya-li DENG Ai-ping 作者单位： 马红彩,邓爱平,MA Hong-cai,DENG Ai-ping(College of Science,Donghua University,Shanghai 201620,China)

张娅莉,ZHANG Ya-li(Department of Mathematics and Computer Science,Xinyang Vocational and

Technical College,Xinyang 464000,China)

刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 200823(2) 分类号： O175.29 关键词： (2+1)-dimensional BKP equation auxiliary equation method traveling wave solution nonlinear