Exact Solutions, Symmetry Reductions, Painlevé Test and B(a)cklund Transformations of A C

Exact Solutions, Symmetry Reductions, Painlevé Test and B(a)cklund Transformations of A Coupled

KdV Equation

Min-Hui XU;Man JIA

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2017(068)010

【摘要】A coupled KdV equation is studied in this manuscript.The exact solutions,such as the periodic wave solutions and solitary wave solutions by means of the deformation and mapping approach from the solutions of the nonlinear φ4 model are given.Using the symmetry theory,the Lie point symmetries and symmetry reductions of the coupled KdV equation are presented.The results show that the coupled KdV equation possesses infinitely many symmetries and may be considered as an integrable system.Also,the Painlevé test shows the coupled KdV equation possesses Painlevé property.The B(a)cklund transformations of the coupled KdV equation related to Painlevé property and residual symmetry are shown. 【总页数】8页(417-424) 【关键词】

【作者】Min-Hui XU;Man JIA

【作者单位】Physics Department, Ningbo University, Ningbo 315211, China;Physics Department, Ningbo University, Ningbo 315211,

China;Ningbo Collaborative Innovation Center of Nonlinear Hazard System of Ocean and Atmosphere, Ningbo University,Ningbo 315211, China

【正文语种】英文 【中图分类】 【相关文献】

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