Commutativity of Pfaffianization and Backlund transformations: the KP equation

doi:10.1088/0266-5611/21/4/016

	Commutativity of Pfaffianization and Backlund transformations: the KP equation
	Hu, XB; Zhao, JX
	2005-08-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	21 期号:4 页码:1461-1472
摘要	The Pfaffianization procedure is applied to the modified KP equation. As a result, we derive a coupled modified KP system, which is shown to constitute a bilinear Backlund transformation for the coupled KP (cKP) equation introduced by Hirota and Ohta. This means that commutativity of Pfaffianization and 135cklund transformation is valid for the KP equation. As a by-product, we explicitly derive a coupled system from Backlund transformation formulae of the cKP equation, which solves an open problem proposed by Hirota. In addition to starting from the Backlund transformation, a Lax pair for the coupled KP equation is worked out. Finally, two kinds of Pfaffian solutions to the coupled modified KP equation are derived.
DOI	10.1088/0266-5611/21/4/016
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000231612700017
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/1716
专题	计算数学与科学工程计算研究所
通讯作者	Hu, XB
作者单位	1.Acad Sinica, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Hu, XB,Zhao, JX. Commutativity of Pfaffianization and Backlund transformations: the KP equation[J]. INVERSE PROBLEMS,2005,21(4):1461-1472.
APA	Hu, XB,&Zhao, JX.(2005).Commutativity of Pfaffianization and Backlund transformations: the KP equation.INVERSE PROBLEMS,21(4),1461-1472.
MLA	Hu, XB,et al."Commutativity of Pfaffianization and Backlund transformations: the KP equation".INVERSE PROBLEMS 21.4(2005):1461-1472.