Xiaoshan Zhao, Guanhua Zhao, Linping Peng
Abstract:
In this article, a generalized K(n,n) equation is studied by the qualitative
theory of bifurcations and the method of dynamical systems.
The result shows the existence of the different kinds of traveling solutions
of the generalized K(n,n) equation, including solitary waves, kink waves,
periodic wave and compacton solutions, which depend on different parametric
ranges. Moreover, various sufficient conditions to guarantee the existence
of the above traveling solutions are provided under different parameters
conditions.
Submitted March 14, 2013. Published June 20, 2014.
Math Subject Classifications: 34C25-28, 35B08, 35B10, 35B40.
Key Words: Solitary wave; periodic wave; kink wave; compatons; bifurcation.
Show me the PDF file (661 KB), TEX file, and other files for this article.
 |
Xiaoshan Zhao School of Science Tianjin University of Technology and Education Tianjin 300222, China email: xszhao678@126.com |
|---|---|
 |
Guanhua Zhao Department of Mathematics, Handan College Handan, Hebei 056005, China email: zghlds@126.com |
 |
Linping Peng School of Mathematics and System Sciences Beihang University, LIMB of the Ministry of Education Beijing 100191, China email: penglp@buaa.edu.cn |
Return to the EJDE web page