The new tri-function method to multiple exact solutions of nonlinear wave equations

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	The new tri-function method to multiple exact solutions of nonlinear wave equations
	Z. Yan
	2008
发表期刊	Physica Scripta
ISSN	0031-8949
卷号	78 期号:3
摘要	In this paper, based on a system of the first order differential equations with three nonlinear ordinary differential equations (ODEs), a new tri-function method is presented to investigate exact solutions of a wide class of nonlinear wave equations. The method is constructive and can be carried out in a computer with the aid of symbolic computation. In particular, we apply the tri-function method to the (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation and the (2 + 1)-dimensional nonlinear Schrodinger (NLS) equation such that many types of new exact solutions are obtained, which contain doubly periodic solutions and solitary wave solutions.
部门归属	[yan, zhenya] chinese acad sci, amss, inst syst sci, key lab math mech, beijing 100080, peoples r china. [yan, zhenya] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china.;yan, z (reprint author), chinese acad sci, amss, inst syst sci, key lab math mech, beijing 100080, peoples r china;zyyan@mmrc.iss.ac.cn
关键词	Doubly-periodic-solutions Differential-equations Symbolic Computation Expansion Algorithm Evolution-equations Construct
URL	查看原文
WOS记录号	WOS:000259699800001
引用统计	被引频次：37[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/33263
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Z. Yan. The new tri-function method to multiple exact solutions of nonlinear wave equations[J]. Physica Scripta,2008,78(3).
APA	Z. Yan.(2008).The new tri-function method to multiple exact solutions of nonlinear wave equations.Physica Scripta,78(3).
MLA	Z. Yan."The new tri-function method to multiple exact solutions of nonlinear wave equations".Physica Scripta 78.3(2008).