Electron. J. Differential Equations,
Vol. 2019 (2019), No. 126, pp. 120.
Feng's firstintegral method to traveling wave solutions of the Ostrovsky system
Kehua Li, Zhihong Zhao
Abstract:
In this paper, we apply Feng's firstintegral method to study traveling
wave solutions to a twocomponent generalization of the Ostrovsky system.
We convert the twocomponent 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 firstintegral to this
autonomous system. Through analyzing the derived firstintegral, we obtain
traveling wave solutions to the twocomponent 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; firstintegral; bifurcation;
reduced Ostrovsky equation; divisor theorem.
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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

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