Name
Abstract | ||
|---|---|---|
The dynamical model of a nonlinear wave is governed by a partial differential equation which is a special case of the b-family equation. Its traveling system is a singular system with a singular straight line. On this line, there exist two degenerate nodes of the associated regular system. By using the method of dynamical systems and the theory of singular traveling wave systems, in this paper we show that, corresponding to global level curves, this wave equation has global periodic wave solutions and anti-solitary wave solutions. We obtain their exact representations. Specially, we discover some new phenomena. (i) Infinitely many periodic orbits of the traveling wave system pass through the singular straight line. (ii) Inside some homoclinic orbits of the traveling wave system there is not any singular point. (iii) There exist periodic wave bifurcation and double anti-solitary waves bifurcation. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1142/S0218127419500986 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Bifurcation, solitary wave, periodic wave, singular system, nonlinear wave equation | Nonlinear system,Mathematical analysis,Nonlinear wave equation,Partial differential equation,Mathematics,Special case,Bifurcation | Journal |
Volume | Issue | ISSN |
29 | 7 | 0218-1274 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zongguang Li | 1 | 0 | 0.68 |
| Rui Liu | 2 | 92 | 19.60 |