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

Author: Wen-Guang Cheng   Biao Li   Yong Chen  

Publisher: IOP Publishing

E-ISSN: 1572-9494|63|5|549-553

ISSN: 0253-6102

Source: Communications in Theoretical Physics, Vol.63, Iss.5, 2015-05, pp. : 549-553

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Abstract

In this paper, the truncated Painlevé 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 difficult to be found by other traditional methods. When the value of the Jacobi elliptic function modulus m = 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.