Construction of Soliton-Cnoidal Wave Interaction Solution for the （2＋1）-Dimensional Breaking Soliton Equation

In this paper, the truncated Painleve analysis and the consistent tanh expansion （CTE） method are developed for the （2＋1）-dimensional breaking soliton equation. As a result, the soliton-cnoidal wave interaction solution of the equation is explicitly given, which is dimcult to be found by other tradi...

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Bibliographic Details
Published in:理论物理通讯：英文版 2015, Vol.63 (5), p.549-553
Main Author: 程文广 李彪 陈勇
Format: Article
Language:English
Subjects:
Painleve分析
交互
施工
椭圆余弦波
相互作用
破裂孤子方程
雅可比椭圆函数
非线性演化方程
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Summary:In this paper, the truncated Painleve analysis and the consistent tanh expansion （CTE） method are developed for the （2＋1）-dimensional breaking soliton equation. As a result, the soliton-cnoidal wave interaction solution of the equation is explicitly given, which is dimcult to be found by other traditional methods. When the value of the Jacobi elliptic function modulus rn = 1, the soliton-cnoidal wave interaction solution reduces back to the two-soliton solution. The method can also be extended to other types of nonlinear evolution equations in mathematical physics.
ISSN:0253-6102