Traveling Wave Solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We use bifurcation method of dynamical systems to study exact traveling wave solutions of a nonlinear evolution equation.
We obtain exact explicit expressions of bell-shaped solitary wave solutions involving more free parameters, and some existing results are corrected and improved.
Also, we get some new exact periodic wave solutions in parameter forms of the Jacobian elliptic function.
Further, we find that the bell-shaped waves are limits of the periodic waves in some sense.
The results imply that we can deduce bell-shaped waves from periodic waves for some nonlinear evolution equations.
American Psychological Association (APA)
Ouyang, Zheng-yong. 2014. Traveling Wave Solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1034118
Modern Language Association (MLA)
Ouyang, Zheng-yong. Traveling Wave Solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1034118
American Medical Association (AMA)
Ouyang, Zheng-yong. Traveling Wave Solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1034118
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034118