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Exact Explicit Peakon and Periodic Cusp Wave Solutions for Several Nonlinear Wave Equations

  • Jibin LiEmail author
Article

Abstract

Using the method of dynamical systems for six nonlinear wave equations, the exact explicit parametric representations of the solitary cusp wave solutions and the periodic cusp wave solutions are given. These parametric representations follow that when travelling systems corresponding to these nonlinear wave equations has a singular straight line, under some parameter conditions, nonanalytic travelling wave solutions must appear.

Keywords

Nonlinear wave equation Solitary wave Periodic wave Exact explicit solution Smoothnees of wave 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of MathematicsZhejiang Normal UniversityJinhuaPeople’s Republic China
  2. 2.Center for Nonlinear Science StudiesKunming University of Science and TechnologyKunmingPeople’s Republic China

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