A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs

Ryogo Hirota; Xing Biao Hu; Xiao Yan Tang

doi:10.1016/j.jmaa.2003.08.046

A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs

Ryogo Hirota
, Xing Biao Hu^*
, Xiao Yan Tang

^*Corresponding author for this work

Waseda University
CAS - Institute of Computational Mathematics and Scientific-Engineering Computing
Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

107 Scopus citations

Abstract

A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived.

Original language	English
Pages (from-to)	326-348
Number of pages	23
Journal	Journal of Mathematical Analysis and Applications
Volume	288
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2003.08.046
State	Published - 1 Dec 2003
Externally published	Yes

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10.1016/j.jmaa.2003.08.046

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title = "A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear B{\"a}cklund transformations and Lax pairs",

abstract = "A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear B{\"a}cklund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived.",

author = "Ryogo Hirota and Hu, \{Xing Biao\} and Tang, \{Xiao Yan\}",

year = "2003",

month = dec,

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doi = "10.1016/j.jmaa.2003.08.046",

language = "英语",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - A vector potential KdV equation and vector Ito equation

T2 - Soliton solutions, bilinear Bäcklund transformations and Lax pairs

AU - Hirota, Ryogo

AU - Hu, Xing Biao

AU - Tang, Xiao Yan

PY - 2003/12/1

Y1 - 2003/12/1

N2 - A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived.

AB - A vector potential KdV equation and vector Ito equation are proposed based on their bilinear forms. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived.

UR - https://www.scopus.com/pages/publications/0348163853

U2 - 10.1016/j.jmaa.2003.08.046

DO - 10.1016/j.jmaa.2003.08.046

M3 - 文章

AN - SCOPUS:0348163853

SN - 0022-247X

VL - 288

SP - 326

EP - 348

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs

Abstract

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