Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperis-Procesi equation ut−uxxt+4uux+γ(u−uxx)x=3uxuxx+uuxxx.
The implicit expression of smooth soliton solutions is given.
The explicit expressions of peaked soliton solutions and periodic cuspon solutions are also obtained.
Further, we show the relationship among the smooth soliton solutions, the peaked soliton solutions, and the periodic cuspon solutions.
The physical relevance of the found solutions and the reason why these solutions can exist in this equation are also given.
American Psychological Association (APA)
Zhou, Jiangbo& Li-xin, Tian. 2009. Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-457289
Modern Language Association (MLA)
Zhou, Jiangbo& Li-xin, Tian. Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation. Mathematical Problems in Engineering No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-457289
American Medical Association (AMA)
Zhou, Jiangbo& Li-xin, Tian. Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-457289
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457289
