A vector potential KdV equation and vector Ito equation: soliton solutions, bilinear Backlund transformations and Lax pairs | |
Hirota, R; Hu, XB; Tang, XY | |
刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
2003-12-01 | |
卷号 | 288期号:1页码:326-348 |
ISSN号 | 0022-247X |
DOI | 10.1016/j.jmaa.2003.08.046 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000187210100026 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18430] |
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. |
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