A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Backlund transformations and Lax pairs

doi:10.1016/j.jmaa.2003.08.046

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	A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Backlund transformations and Lax pairs
	Hirota, R ; Hu, XB ; Tang, XY
	2003-12-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	288 期号:1 页码:326-348
摘要	A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear Backlund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derided. (C) 2003 Elsevier Inc. All rights reserved.
DOI	10.1016/j.jmaa.2003.08.046
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000187210100026
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18431
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, XB
作者单位	1.Acad Sinica, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Waseda Univ, Shinjuku Ku, Tokyo 160, Japan 3.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
推荐引用方式 GB/T 7714	Hirota, R,Hu, XB,Tang, XY. A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Backlund transformations and Lax pairs[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,288(1):326-348.
APA	Hirota, R,Hu, XB,&Tang, XY.(2003).A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Backlund transformations and Lax pairs.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,288(1),326-348.
MLA	Hirota, R,et al."A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Backlund transformations and Lax pairs".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 288.1(2003):326-348.