Pfaffian-Type Soliton Solution to a Multi-Component Coupled Ito Equation

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 mu...

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Bibliographic Details
Published in:Chinese physics letters 2014-11, Vol.31 (11), p.30-34
Main Author: 陈俊超 陈勇 冯宝峰 朱汉敏
Format: Article
Language:English
Subjects:
an型
Joining
Mathematical analysis
Perturbation methods
Solitons
一般形式
公式
双线性法
多组分
孤子解
组成部分
耦合系统
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Summary: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.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/11/110502