Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant

doi:10.1016/j.chaos.2006.01.122

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	Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant
	Yan, Zhenya
	2007-08-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	33 期号:3 页码:951-957
摘要	Many types of new exact solutions of (3 + 1)-dimensional KP equation are obtained via an unified Wronskian determinant and three linear partial differential equations, which involve many types of multiple solitary wave solutions, rational solutions, and rational-solitary wave solutions. It is shown that the collisions of the obtained multiple solitary wave solutions are elastic, which implies that (3 + 1)-dimensional KP equation admits multisoliton solutions. Moreover we also give the Wronskian formal solutions of (n + 1)-dimensional KP equations. (c) 2006 Elsevier Ltd. All rights reserved.
关键词	(3+1)-dimensional KP equation Wronskian determinant exact solution elastic collision soliton solution
DOI	10.1016/j.chaos.2006.01.122
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000246259400026
出版者	PERGAMON-ELSEVIER SCIENCE 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/4153
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya. Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant[J]. CHAOS SOLITONS & FRACTALS,2007,33(3):951-957.
APA	Yan, Zhenya.(2007).Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant.CHAOS SOLITONS & FRACTALS,33(3),951-957.
MLA	Yan, Zhenya."Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant".CHAOS SOLITONS & FRACTALS 33.3(2007):951-957.