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Single Peak Soliton and Periodic Cusp Wave of the Generalized Schrodinger-Boussinesq Equations

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【Author】 QIAO Li-Jing;TANG Sheng-Qiang;ZHAO Hai-Xia;School of Mathematics and Computing Science,Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guilin University of Electronic Technology;

【机构】 School of Mathematics and Computing Science,Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guilin University of Electronic Technology；

【摘要】 In this paper,we study peakon,cuspon,smooth sohton and periodic cusp wave of the generalized Schrodinger-Boussinesq equations.Based on the method of dynamical systems,the generalized Schrodinger-Boussinesq equations are shown to have new the parametric representations of peakon,cuspon,smooth soliton and periodic cusp wave solutions.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given.更多还原

【Abstract】 In this paper,we study peakon,cuspon,smooth sohton and periodic cusp wave of the generalized Schrodinger-Boussinesq equations.Based on the method of dynamical systems,the generalized Schrodinger-Boussinesq equations are shown to have new the parametric representations of peakon,cuspon,smooth soliton and periodic cusp wave solutions.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given.更多还原

【关键词】 method of dynamical systems； peakon； cuspon； periodic cusp wave； generalized SchrodingerBoussinesq equations；
【Key words】 method of dynamical systems； peakon； cuspon； periodic cusp wave； generalized SchrodingerBoussinesq equations；

【基金】 Supported by National Natural Science Foundation of China under Grant Nos.11361017,11161013;Natural Science Foundation of Guangxi under Grant Nos.2012GXNSFAA053003,2013GXNSFAA019010;Program for Innovative Research Team of Guilin University of Electronic Technology

【文献出处】 Communications in Theoretical Physics ,理论物理通讯(英文版) , 编辑部邮箱 ,2015年06期

【分类号】O175
【被引频次】1
【下载频次】38

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