Kehua Li, Zhihong Zhao
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.
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| Kehua Li |
School of Applied Mathematics
Xiamen University of Technology
Xiamen, Fujian 361024, China
| Zhihong Zhao |
School of Mathematics and Physics
University of Science and Technology Beijing
Beijing 100083, China
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