Bosonized Supersymmetric Sawada–Kotera Equations: Symmetries and Exact Solutions

被引：0

作者：

刘萍

曾葆青

刘黎明

机构：

[1] College of Electron and Information Engineering,University of Electronic Science and Technology of China Zhongshan Institute

[2] School of Physical Electronics,University of Electronic Science and Technology of China

来源：

Communications in Theoretical Physics | 2015年 / 63卷 / 04期

关键词：

bosonized supersymmetric Sawada–Kotera equations; symmetries; exact solution; Sawada–Kotera equation; bosonization method;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

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.

引用

页码：413 / 422

页数：10

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