Explicit N-fold Darboux transformation and multi-soliton solutions for the (1 + 1)-dimensional higher-order Broer-Kaup system

Ding jiang Huang; De sheng Li; Hong qing Zhang

doi:10.1016/j.chaos.2006.03.015

Explicit N-fold Darboux transformation and multi-soliton solutions for the (1 + 1)-dimensional higher-order Broer-Kaup system

Ding jiang Huang^*
, De sheng Li
, Hong qing Zhang

^*此作品的通讯作者

Dalian University of Technology
Shenyang Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

30 引用（Scopus）

摘要

In this paper, we present a new N-fold Darboux transformations of the (1 + 1)-dimensional higher-order Broer-Kaup (HBK) system with the help of a gauge transformation of the spectral problem. As an application, new explicit (2N - 1)-soliton solutions of the (1 + 1)-dimensional HBK system are obtained. Both the N-fold Darboux transformation and (2N - 1)-soliton solutions can be written explicitly in terms of Vandermonde-like determinants which are remarkable compactness and transparency.

源语言	英语
页（从-至）	1677-1685
页数	9
期刊	Chaos, Solitons and Fractals
卷	33
期	5
DOI	https://doi.org/10.1016/j.chaos.2006.03.015
出版状态	已出版 - 8月 2007
已对外发布	是

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abstract = "In this paper, we present a new N-fold Darboux transformations of the (1 + 1)-dimensional higher-order Broer-Kaup (HBK) system with the help of a gauge transformation of the spectral problem. As an application, new explicit (2N - 1)-soliton solutions of the (1 + 1)-dimensional HBK system are obtained. Both the N-fold Darboux transformation and (2N - 1)-soliton solutions can be written explicitly in terms of Vandermonde-like determinants which are remarkable compactness and transparency.",

author = "Huang, \{Ding jiang\} and Li, \{De sheng\} and Zhang, \{Hong qing\}",

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AU - Li, De sheng

AU - Zhang, Hong qing

PY - 2007/8

Y1 - 2007/8

N2 - In this paper, we present a new N-fold Darboux transformations of the (1 + 1)-dimensional higher-order Broer-Kaup (HBK) system with the help of a gauge transformation of the spectral problem. As an application, new explicit (2N - 1)-soliton solutions of the (1 + 1)-dimensional HBK system are obtained. Both the N-fold Darboux transformation and (2N - 1)-soliton solutions can be written explicitly in terms of Vandermonde-like determinants which are remarkable compactness and transparency.

AB - In this paper, we present a new N-fold Darboux transformations of the (1 + 1)-dimensional higher-order Broer-Kaup (HBK) system with the help of a gauge transformation of the spectral problem. As an application, new explicit (2N - 1)-soliton solutions of the (1 + 1)-dimensional HBK system are obtained. Both the N-fold Darboux transformation and (2N - 1)-soliton solutions can be written explicitly in terms of Vandermonde-like determinants which are remarkable compactness and transparency.

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JF - Chaos, Solitons and Fractals

IS - 5

ER -

Explicit N-fold Darboux transformation and multi-soliton solutions for the (1 + 1)-dimensional higher-order Broer-Kaup system

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