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

doi:10.1088/0031-8949/78/03/035001

CSpace > 系统科学研究所

	The new tri-function method to multiple exact solutions of nonlinear wave equations
	Yan, Zhenya1,2
	2008-09-01
发表期刊	PHYSICA SCRIPTA
ISSN	0031-8949
卷号	78 期号:3 页码:5
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.
DOI	10.1088/0031-8949/78/03/035001
语种	英语
资助项目	NNSF of China[10401039] ; NKBRP of China[2004CB318000]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000259699800001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5852
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya. The new tri-function method to multiple exact solutions of nonlinear wave equations[J]. PHYSICA SCRIPTA,2008,78(3):5.
APA	Yan, Zhenya.(2008).The new tri-function method to multiple exact solutions of nonlinear wave equations.PHYSICA SCRIPTA,78(3),5.
MLA	Yan, Zhenya."The new tri-function method to multiple exact solutions of nonlinear wave equations".PHYSICA SCRIPTA 78.3(2008):5.