Feng's first-integral method to traveling wave solutions of the Ostrovsky system
| dc.contributor.author | Li, Kehua | |
| dc.contributor.author | Zhao, Zhihong | |
| dc.date.accessioned | 2021-12-06T21:30:11Z | |
| dc.date.available | 2021-12-06T21:30:11Z | |
| dc.date.issued | 2019-11-25 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15020 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Traveling wave solutions | |
| dc.subject | First-integral | |
| dc.subject | Bifurcation | |
| dc.subject | Reduced Ostrovsky equation | |
| dc.subject | Divisor theorem | |
| dc.title | Feng's first-integral method to traveling wave solutions of the Ostrovsky system | |
| dc.type | Article |