Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation

doi:10.1016/j.matcom.2009.06.006

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	Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation
	Yu, Guo-Fu 1; Hu, Xing-Biao 2
	2009-09-01
发表期刊	MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN	0378-4754
卷号	80 期号:1 页码:184-191
摘要	In this paper, we would give a broad set of sufficient conditions of systems of linear partial differential equations which guarantee that the Grammian determinant solves the KP (Kadomtsev-Petviashvili) equation in the bilinear form. A systematic analysis of linear partial differential equations is made for solving the resultant linear systems. A special method is constructed to solve the representative system. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Solitons Pfaffian Grammian determinant Kadomtsev-Petviashvili equation
DOI	10.1016/j.matcom.2009.06.006
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000271103800021
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7320
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Guo-Fu
作者单位	1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yu, Guo-Fu,Hu, Xing-Biao. Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2009,80(1):184-191.
APA	Yu, Guo-Fu,&Hu, Xing-Biao.(2009).Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation.MATHEMATICS AND COMPUTERS IN SIMULATION,80(1),184-191.
MLA	Yu, Guo-Fu,et al."Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation".MATHEMATICS AND COMPUTERS IN SIMULATION 80.1(2009):184-191.