Supersymmetric Sawada-Kotera Equation: Backlund-Darboux Transformations and Applications

被引：9
|
作者：
Mao, Hui [1 ,3 ]
Liu, Q. P. [1 ]
Xue, Lingling [2 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
[3] Guangxi Teachers Educ Univ, Sch Math & Stat, Nanning 530023, Guangxi, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2018年 / 25卷 / 03期
基金：
中国国家自然科学基金;
关键词：
solitons; integrable systems; supersymmetry; Darboux transformation; Backlund transformation; CAUDREY-DODD-GIBBON; SOLITON-SOLUTIONS; KAUP-KUPERSHMIDT; BKP EQUATIONS; HIERARCHY; SYMMETRIES; REPRESENTATION;
D O I：
10.1080/14029251.2018.1494779
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct a Darboux transformation and the related Backlund transformation for the super-symmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposition formula is also worked out. We demonstrate that these are natural extensions of the similar results of the Sawada-Kotera equation and may be applied to produce the solutions of the SSK equation. Also, we present two semi-discrete systems and show that the continuum limit of one of them goes to the SKK equation.
引用
收藏
页码：375 / 386
页数：12
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