The Wronskian technique for nonlinear evolution equationst

The investigation of the exact traveling wave solutions to the nonlinear evolution equations plays an important role in the study of nonlinear physical phenomena. To understand the mechanisms of those physical phenomena, it is necessary to explore their solutions and properties. The Wronskian techni...

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Bibliographic Details
Published in:中国物理B：英文版 2016 (1), p.514-519
Main Author: 成建军 张鸿庆
Format: Article
Language:English
Subjects:
双线性形式
多孤子解
技术
物理现象
精确行波解
线性微分系统
非线性演化方程
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Summary:The investigation of the exact traveling wave solutions to the nonlinear evolution equations plays an important role in the study of nonlinear physical phenomena. To understand the mechanisms of those physical phenomena, it is necessary to explore their solutions and properties. The Wronskian technique is a powerful tool to construct multi-soliton solutions for many nonlinear evolution equations possessing Hirota bilinear forms. In the process of utilizing the Wronskian technique, the main difficulty lies in the construction of a system of linear differential conditions, which is not unique. In this paper, we give a universal method to construct a system of linear differential conditions.
ISSN:1674-1056
2058-3834