Trigonometric Function Periodic Wave Solutions and Their Limit Forms for the KdV-Like and the PC-Like Equations
Joint Authors
Zhengrong, Liu
Tianpei, Jiang
Peng, Qin
Qinfeng, Xu
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-17
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limit forms for the KdV-like equation ut+a(1+bu)uux+uxxx=0, and PC-like equation vtt - vttxx - (a1v+a2v2+a3v3)xx=0, respectively.
Via some special phase orbits, we obtain some new explicit periodic wave solutions which are called trigonometric function periodic wave solutions because they are expressed in terms of trigonometric functions.
We also show that the trigonometric function periodic wave solutions can be obtained from the limits of elliptic function periodic wave solutions.
It is very interesting that the two equations have similar periodic wave solutions.
Our work extend previous some results.
American Psychological Association (APA)
Zhengrong, Liu& Tianpei, Jiang& Peng, Qin& Qinfeng, Xu. 2011. Trigonometric Function Periodic Wave Solutions and Their Limit Forms for the KdV-Like and the PC-Like Equations. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-499889
Modern Language Association (MLA)
Zhengrong, Liu…[et al.]. Trigonometric Function Periodic Wave Solutions and Their Limit Forms for the KdV-Like and the PC-Like Equations. Mathematical Problems in Engineering No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-499889
American Medical Association (AMA)
Zhengrong, Liu& Tianpei, Jiang& Peng, Qin& Qinfeng, Xu. Trigonometric Function Periodic Wave Solutions and Their Limit Forms for the KdV-Like and the PC-Like Equations. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-499889
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499889
