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

被引：8

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

页码：375 / 386

页数：12

共 50 条

[1] Darboux and Backlund transformations of the bidirectional Sawada-Kotera equation
Ma, Yunling
Geng, Xianguo
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (12) : 6963 - 6965
[2] Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
Hui Mao
Q. P. Liu
Lingling Xue
Journal of Nonlinear Mathematical Physics, 2018, 25 : 375 - 386
[3] A supersymmetric Sawada-Kotera equation
Tian, Kai
Liu, Q. P.
PHYSICS LETTERS A, 2009, 373 (21) : 1807 - 1810
[4] Odd Hamiltonian structure for supersymmetric Sawada-Kotera equation
Popowicz, Ziemowit
PHYSICS LETTERS A, 2009, 373 (37) : 3315 - 3323
[5] Painleve Analysis for Supersymmetric Extensions of the Sawada-Kotera Equation
Li, Li
Zhang, Meng-Xia
Lv, Shu-Qiang
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2011, 66 (3-4): : 165 - 171
[6] Backlund-Darboux transformations and discretizations of N=2 a =-2 supersymmetric KdV equation
Mao, Hui
Liu, Q. P.
PHYSICS LETTERS A, 2018, 382 (05) : 253 - 258
[7] On affine Sawada-Kotera equation
Qu, CZ
Si, YQ
Liu, RC
CHAOS SOLITONS & FRACTALS, 2003, 15 (01) : 131 - 139
[8] Backlund-Darboux Transformations and Discretizations of Super KdV Equation
Xue, Ling-Ling
Liu, Qing Ping
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2014, 10
[9] ON THE CANONICAL CHARACTER OF THE SAWADA-KOTERA EQUATION
BROER, LJF
TENEIKELDER, HMM
PHYSICS LETTERS A, 1982, 89 (09) : 429 - 431
[10] A reformulation of the 'dressing method' for the Sawada-Kotera equation
Parker, A
INVERSE PROBLEMS, 2001, 17 (04) : 885 - 895

← 1 2 3 4 5 →