Abstract
The soliton interaction is investigated based on solving the nonisospectral generalized Sawada-Kotera (GSK) equation. By using Hirota method, the analytic one-, two-, three-, andN-soliton solutions of this model are obtained. According to those solutions, the relevant properties and features of line-soliton and bright-soliton are illustrated. The results of this paper will be useful to the study of soliton resonance in the inhomogeneous media.
Highlights
The Hirota method, originating from the work of Hirota in 1971 [1], is a powerful method for constructing solutions for integrable systems
The bilinear form and N-soliton solutions will be considered for a generalized nonisospectral equation
The aim of this paper is to propose a simple method for construction N-soliton solutions
Summary
The Hirota method, originating from the work of Hirota in 1971 [1], is a powerful method for constructing solutions for integrable systems. It is remarked that the Hirota method is very efficient for construction of soliton solutions. Numerical methods can be presented well for the nonisospectral nonlinear problem [9,10,11]. Jiang considers the nonisospectral problem [12] by using the compatibility condition of Lax pairs. The bilinear form and N-soliton solutions will be considered for a generalized nonisospectral equation. The aim of this paper is to propose a simple method for construction N-soliton solutions. This paper is organized as following: In Section 2, with the aid of symbolic computation, the bilinear form of (1) is obtained by use of Hirota method. Some special solutions are explicitly presented based on their bilinear form (4) and the soliton resonance is illustrated.
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