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

Yin Jiu-li | Zendy; Liuwei Zhao | Zendy; Shanyu Ding | Zendy

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

Author(s) -

Yin Jiu-li,

Liuwei Zhao,

Shanyu Ding

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/548920

Subject(s) - limiting , traveling wave , parametric statistics , fractal , mathematical analysis , mathematics , space (punctuation) , physics , statistical physics , computer science , statistics , engineering , mechanical engineering , operating system

Using an improved qualitative method which combines characteristics of several methods, we classify all travelling 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 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

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