Li, KehuaZhao, Zhihong2021-12-062021-12-062019-11-25Li, K., & Zhao, Z. (2019). Feng's first-integral method to traveling wave solutions of the Ostrovsky system. <i>Electronic Journal of Differential Equations, 2019</i>(126), pp. 1-20.1072-6691https://hdl.handle.net/10877/15020In 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.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalTraveling wave solutionsFirst-integralBifurcationReduced Ostrovsky equationDivisor theoremArticle