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

Date

2019-11-25

Authors

Li, Kehua
Zhao, Zhihong

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Traveling wave solutions, First-integral, Bifurcation, Reduced Ostrovsky equation, Divisor theorem

Citation

Li, 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.

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Attribution 4.0 International

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