Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation. (9th July 2014)

• Record Type: Journal Article
• Authors: Yin, Jiuli; Zhao, Liuwei; Ding, Shanyu
• Other Names: Hu Xing Biao Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2014(2014)
• Publication Date: 2014-07-09
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2014/548920
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : 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.