Pfaffian-type soliton solution to a multi-component coupled Ito equation

Jun Chao Chen; Yong Chen; Bao Feng Feng; Han Min Zhu

doi:10.1088/0256-307X/31/11/110502

Pfaffian-type soliton solution to a multi-component coupled Ito equation

Jun Chao Chen
, Yong Chen^*
, Bao Feng Feng
, Han Min Zhu

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University
University of Texas-Pan American
Suzhou Institute of Trade and Commerce

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

2 Scopus citations

Abstract

Multi-soliton solution to a multi-component coupled Ito system is investigated based on the Hirota bilinear method. By virtue of the perturbation method, we firstly derive one- and two-soliton solutions for the coupled Ito system possessing four components. Then the multi-soliton solution for the multi-component coupled Ito system is summarized into a general form expressed by pfaffians. Finally, this general pfaffian-type soliton solution is proved by pfaffian techniques.

Original language	English
Article number	110502
Journal	Chinese Physics Letters
Volume	31
Issue number	11
DOIs	https://doi.org/10.1088/0256-307X/31/11/110502
State	Published - 1 Nov 2014

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title = "Pfaffian-type soliton solution to a multi-component coupled Ito equation",

abstract = "Multi-soliton solution to a multi-component coupled Ito system is investigated based on the Hirota bilinear method. By virtue of the perturbation method, we firstly derive one- and two-soliton solutions for the coupled Ito system possessing four components. Then the multi-soliton solution for the multi-component coupled Ito system is summarized into a general form expressed by pfaffians. Finally, this general pfaffian-type soliton solution is proved by pfaffian techniques.",

author = "Chen, \{Jun Chao\} and Yong Chen and Feng, \{Bao Feng\} and Zhu, \{Han Min\}",

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AU - Chen, Jun Chao

AU - Chen, Yong

AU - Feng, Bao Feng

AU - Zhu, Han Min

PY - 2014/11/1

Y1 - 2014/11/1

N2 - Multi-soliton solution to a multi-component coupled Ito system is investigated based on the Hirota bilinear method. By virtue of the perturbation method, we firstly derive one- and two-soliton solutions for the coupled Ito system possessing four components. Then the multi-soliton solution for the multi-component coupled Ito system is summarized into a general form expressed by pfaffians. Finally, this general pfaffian-type soliton solution is proved by pfaffian techniques.

AB - Multi-soliton solution to a multi-component coupled Ito system is investigated based on the Hirota bilinear method. By virtue of the perturbation method, we firstly derive one- and two-soliton solutions for the coupled Ito system possessing four components. Then the multi-soliton solution for the multi-component coupled Ito system is summarized into a general form expressed by pfaffians. Finally, this general pfaffian-type soliton solution is proved by pfaffian techniques.

UR - https://www.scopus.com/pages/publications/84924709102

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DO - 10.1088/0256-307X/31/11/110502

M3 - 文章

AN - SCOPUS:84924709102

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VL - 31

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 11

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ER -

Pfaffian-type soliton solution to a multi-component coupled Ito equation

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