The Wronskian Solution and Soliton Resonance of the Nonisospectral Generalised Sawada–Kotera Equation

2015 ◽  
Vol 70 (4) ◽  
pp. 213-223 ◽  
Author(s):  
Jian Zhou ◽  
Xiang-Gui Li ◽  
Deng-Shan Wang
Keyword(s):  
Bilinear Form ◽  
Inhomogeneous Media ◽  
Wronskian Technique ◽  
Soliton Resonance ◽  
Wronskian Solution

AbstractThe bilinear form of the nonisospectral generalized Sawada–Kotera equation is derived. With the aid of the Wronskian technique, the Wronskian solution is presented for this equation. The soliton resonance is discussed in inhomogeneous media. Negatons and positons are also obtained.

The triple Wronskian solutions to the variable-coefficient Manakov model

2016 ◽  
Vol 30 (28n29) ◽  
pp. 1640031
Author(s):  
Yi Zhang ◽  
Kun Ma
Keyword(s):  
Bilinear Form ◽  
Variable Coefficient ◽  
Wronskian Technique ◽  
Manakov Model

In this paper, the variable-coefficient Manakov model whose bilinear form exists is mainly discussed. Based on the Wronskian technique, the triple Wronskian form solutions are obtained and the interactions between the two solitons are investigated.

scholarly journals N-Soliton Solutions of the Nonisospectral Generalized Sawada-Kotera Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Jian Zhou ◽  
Xiang-Gui Li ◽  
Deng-Shan Wang
Keyword(s):  
Soliton Solutions ◽  
Inhomogeneous Media ◽  
Hirota Method ◽  
Bright Soliton ◽  
Soliton Interaction ◽  
Soliton Resonance ◽  
Line Soliton

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.

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