Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation
Joint Authors
Yin, Jiuli
Ding, Shanyu
Zhao, Liuwei
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-09
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yin, Jiuli& Zhao, Liuwei& Ding, Shanyu. 2014. Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-480604
Modern Language Association (MLA)
Yin, Jiuli…[et al.]. Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation. Advances in Mathematical Physics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-480604
American Medical Association (AMA)
Yin, Jiuli& Zhao, Liuwei& Ding, Shanyu. Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-480604
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480604