Bosonized Supersymmetric Sawada–Kotera Equations： Symmetries and Exact Solutions

The Bosonized Supersymmetric Sawada–Kotera（BSSK） system is constructed by applying bosonization method to a Supersymmetric Sawada–Kotera system in this paper. The symmetries on the BSSK equations are researched and the calculation shows that the BSSK equations are invariant under the scaling transfo...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 63; no. 4; pp. 413 - 422
Main Author 刘萍 曾葆青 刘黎明
Format Journal Article
LanguageEnglish
Published 01.04.2015
Subjects
BSS
Evolution
Exact solutions
Invariants
K方程
Mathematical analysis
Solitary waves
Supersymmetry
Symmetry
Translations
孤立波解
对称性
精确解
缩放变换
计算表
超对称
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Summary:The Bosonized Supersymmetric Sawada–Kotera（BSSK） system is constructed by applying bosonization method to a Supersymmetric Sawada–Kotera system in this paper. The symmetries on the BSSK equations are researched and the calculation shows that the BSSK equations are invariant under the scaling transformations, the space-time translations and Galilean boosts. The one-parameter invariant subgroups and the corresponding invariant solutions are researched for the BSSK equations. Four types of reduction equations and similarity solutions are proposed. Period Cnoidal wave solutions, dark solitary wave solutions and bright solitary wave solutions of the BSSK equations are demonstrated and some evolution curves of the exact solutions are figured out.
Bibliography:The Bosonized Supersymmetric Sawada–Kotera（BSSK） system is constructed by applying bosonization method to a Supersymmetric Sawada–Kotera system in this paper. The symmetries on the BSSK equations are researched and the calculation shows that the BSSK equations are invariant under the scaling transformations, the space-time translations and Galilean boosts. The one-parameter invariant subgroups and the corresponding invariant solutions are researched for the BSSK equations. Four types of reduction equations and similarity solutions are proposed. Period Cnoidal wave solutions, dark solitary wave solutions and bright solitary wave solutions of the BSSK equations are demonstrated and some evolution curves of the exact solutions are figured out.
bosonized supersymmetric Sawada–Kotera equations,symmetries,exact solution,Sawada–Kotera equation,bosonization method
LIU Ping , ZENG Bao-Qing , LIU Li-Ming （ College of Electron and Information Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402, China ;School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China）
11-2592/O3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/63/4/413