Various Kinds Waves and Solitons Interaction Solutions of Boussinesq Equation Describing Ultrashort Pulse in Quadratic Nonlinear Medium  

作　　者：Bang-Xing Guo Zhan-Jie Gao Ji Lin 郭帮兴;高战杰;林机(Department of Physics, Zhejiang Normal University)

机构地区：Department of Physics, Zhejiang Normal University, Jinhua 321004, China

出　　处：《Communications in Theoretical Physics》2016年第12期589-594,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of Zhejiang Province under Grant No.LZ15A050001;the National Natural Science Foundation of China under Grant No.11675146

摘　　要：The consistent tanh expansion(CTE) method is applied to the(2+1)-dimensional Boussinesq equation which describes the propagation of ultrashort pulse in quadratic nonlinear medium. The interaction solutions are explicitly given, such as the bright soliton-periodic wave interaction solution, variational amplitude periodic wave solution,and kink-periodic wave interaction solution. We also obtain the bright soliton solution, kind bright soliton solution, double well dark soliton solution and kink-bright soliton interaction solution by using Painlev′e truncated expansion method.And we investigate interactive properties of solitons and periodic waves.

关 键 词：soliton interaction Boussinesq equation consistent tanh expansion method Painlevé truncated expansion method 

分 类 号：O175[理学—数学]