Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 126, pp. 1-20.

Title:  Feng's first-integral method to traveling wave solutions of the Ostrovsky system

Authors:  Kehua Li (Xiamen Univ. of Technology, Xiamen, Fujian, China)
                Zhihong Zhao (Univ. of Science and Technology,  Beijing,Beijing, China)

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.