Bosonized Supersymmetric Sawada Kotera Equations: Symmetries and Exact Solutions

作者：Liu Ping^*; Zeng Bao-Qing; Liu Li-Ming

来源：Communications in Theoretical Physics, 2015, 63(4): 413-422.

DOI：10.1088/0253-6102/63/4/413

• bosonized supersymmetric Sawada-Kotera equations
• symmetries
• exact solution
• Sawada-Kotera equation
• bosonization method

The Bosonized Supersymmetric Sawada Kotera (BSSK) system is constructed by applying bosonization method to a Supersymmetric Sawada Kot era 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.

• 出版日期2015-4-1
• 单位电子科技大学