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

Authors:	QIAO Li-Jing TANG Sheng-Qiang ZHAO Hai-Xia

Affiliation:	School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China

Abstract:	In this paper, we study peakon, cuspon, smooth soliton and periodic cusp wave of the generalized Schrödinger-Boussinesq equations. Based on the method of dynamical systems, the generalized Schrödinger-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.

Keywords:	method of dynamical systems peakon cuspon periodic cusp wave generalized Schrödinger- Boussinesq equations

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