Name
Title | ||
|---|---|---|
Temporal Evolutions And Stationary Waves For Perturbed Kdv Equation With Nonlocal Term |
Abstract | ||
|---|---|---|
Initial value problems as well as stationary solitary and periodic waves are investigated for a perturbed KdV equation including the Hilbert transform; u(t)+uu(x)+betau(xxx)+eta(Hu(x)-u(xx)) = 0 (eta > 0). Multi-hump stationary solitary and periodic wave solutions are numerically identified. Furthermore, the close relation between the structure of the stationary waves and the behavior of the temporal evolutions is discussed in comparison with other perturbed KdV equations with different instability and dissipation terms. The results support some general features common to this type of nonlinear evolution equations. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1142/S0218127402005972 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
perturbed KdV equation, Hilbert transform, multi-hump solution | Journal | 12 |
Issue | ISSN | Citations |
11 | 0218-1274 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bao-Feng Feng | 1 | 4 | 2.66 |
| Takuji Kawahara | 2 | 0 | 0.68 |