KMS Of Academy of mathematics and systems sciences, CAS
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. |
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