user

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
相关论文
共 50 条
  • [31] Localization of nonlocal symmetries and interaction solutions of the Sawada-Kotera equation
    Wu, Jian-wen
    Cai, Yue-jin
    Lin, Ji
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 73 (06)
  • [32] Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation
    Arshad, Muhammad
    Lu, Dianchen
    Wang, Jun
    Abdullah
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 8 (02) : 211 - 223
  • [33] Exact soliton solutions for the fifth-order Sawada-Kotera equation
    Liu, Changfu
    Dai, Zhengde
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 272 - 275
  • [34] Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation
    Meng, Yong
    ADVANCES IN MATHEMATICAL PHYSICS, 2023, 2023
  • [35] Adomian Decomposition Method for Approximating the Solutions of the Bidirectional Sawada-Kotera Equation
    Lai, Xian-Jing
    Cai, Xiao-Ou
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (8-9): : 658 - 664
  • [36] N-Soliton Solutions of the Nonisospectral Generalized Sawada-Kotera Equation
    Zhou, Jian
    Li, Xiang-Gui
    Wang, Deng-Shan
    ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
  • [37] Exp-function method for the exact solutions of Sawada-Kotera equation
    M. Matinfar
    M. Aminzadeh
    M. Nemati
    Indian Journal of Pure and Applied Mathematics, 2014, 45 : 111 - 120
  • [38] Analytic study on the Sawada-Kotera equation with a nonvanishing boundary condition in fluids
    Shan, Wen-Rui
    Yan, Tian-Zhong
    Lu, Xing
    Li, Min
    Tian, Bo
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (07) : 1568 - 1575
  • [39] BACKLUND-TRANSFORMATIONS FOR THE CAUDREY-DODD-GIBBON-SAWADA-KOTERA EQUATION AND ITS LAMBDA-MODIFIED EQUATION
    CHAN, WL
    ZHENG, YK
    JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (09) : 2065 - 2068
  • [40] GENERALIZED BACKLUND-DARBOUX TRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS
    Carinena, Jose F.
    Ramos, Arturo
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2008, 5 (04) : 605 - 640
12345