Name
Abstract | ||
|---|---|---|
We study the travelling fronts of KdV-Burgers-Kuramoto equation from geometric singular perturbation point of view. Motivated by the analogue between travelling fronts and heteroclinic orbits of the corresponding ordinary differential equations, we prove the persistence of these waves for sufficiently small dissipation. The result of numerical investigation also establishes our analysis. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.amc.2010.03.057 | Applied Mathematics and Computation |
Keywords | Field | DocType |
kdv–burgers–kuramoto equation,persistence,kdv-burgers-kuramoto equation,fenichel’s theory,travelling fronts,fenichel's theory,singular perturbation,ordinary differential equation,heteroclinic orbit | Mathematical optimization,Ordinary differential equation,Mathematical analysis,Dissipation,Singular perturbation,Korteweg–de Vries equation,Mathematics | Journal |
Volume | Issue | ISSN |
216 | 7 | Applied Mathematics and Computation |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yanggeng Fu | 1 | 0 | 0.68 |
| Zhengrong Liu | 2 | 25 | 9.02 |