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Periodic Wave,Solitary Wave and Compacton Solutions of a Nonlinear Wave Equation with Degenerate Dispersion
Authors:ZHU Wen-Jing  CHEN Ai-Yong  LIU Qi-Huai
Affiliation:School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
Abstract:In this letter, we investigate traveling wave solutions of a nonlinear wave equation with degenerate dispersion. The phase portraits of corresponding traveling wave system are given under different parametric conditions. Some periodic wave and smooth solitary wave solutions of the equation are obtained. Moreover, we find some new hyperbolic function compactons instead of well-known trigonometric function compactons by analyzing nilpotent points.
Keywords:degenerate equation  periodic wave solutions  solitary wave solutions  compacton solutions  
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