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

^*此作品的通讯作者

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

科研成果: 期刊稿件 › 文章 › 同行评审

107 引用（Scopus）

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 Bäcklund transformations and the corresponding Lax pairs for the vector potential KdV equation and the vector Ito equation are derived.

源语言	英语
页（从-至）	326-348
页数	23
期刊	Journal of Mathematical Analysis and Applications
卷	288
期	1
DOI	https://doi.org/10.1016/j.jmaa.2003.08.046
出版状态	已出版 - 1 12月 2003
已对外发布	是

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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.",

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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.

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U2 - 10.1016/j.jmaa.2003.08.046

DO - 10.1016/j.jmaa.2003.08.046

M3 - 文章

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

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