Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation

Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation

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Using an improved qualitative method which combines characteristics of several methods, we classify all travelling Handbags wave solutions of the modified Degasperis-Procesi equation in specified regions of the parametric space.Besides some popular exotic solutions including peaked waves, and looped and cusped waves, this equation also Natural Gas Conversion Kit admits some very particular waves, such as fractal-like waves, double stumpons, double kinked waves, and butterfly-like waves.The last three types of solutions have not been reported in the literature.Furthermore, we give the limiting behavior of all periodic solutions as the parameters trend to some special values.