School of Applied Mathematics
Xiamen University of Technology
Xiamen, Fujian 361024, China
email: khli@xmut.edu.cn
School of Mathematics and Physics
University of Science and Technology Beijing
Beijing 100083, China
email: zzh@ustb.edu.cn
Kehua Li, Zhihong Zhao
Abstract:
In this paper, we apply Feng's first-integral method to study traveling
wave solutions to a two-component generalization of the Ostrovsky system.
We convert the two-component generalization of the Ostrovsky system to an
equivalent autonomous system. Then we use the Divisor Theorem of two variables
in the complex domain to seek the polynomial first-integral to this
autonomous system. Through analyzing the derived first-integral, we obtain
traveling wave solutions to the two-component generalization of the
Ostrovsky system under certain parametric conditions.
Submitted October 20, 2018. Published November 25, 2019.
Math Subject Classifications: 35C07, 35K40, 35M30.
Key Words: Traveling wave solutions; first-integral; bifurcation;
reduced Ostrovsky equation; divisor theorem.
Show me the PDF file (813 KB), TEX file for this article.
|
Kehua Li School of Applied Mathematics Xiamen University of Technology Xiamen, Fujian 361024, China email: khli@xmut.edu.cn |
|---|---|
|
Zhihong Zhao School of Mathematics and Physics University of Science and Technology Beijing Beijing 100083, China email: zzh@ustb.edu.cn |
Return to the EJDE web page