Asymptotic $N$-soliton-like solutions of the fractional Korteweg–de Vries equation
We construct N -soliton solutions for the fractional Korteweg–de Vries (fKdV) equation \partial_t u - \partial_x(|D|^{\alpha}u - u^2 )=0, in the whole sub-critical range \alpha \in(1/2,2) . More precisely, if Q_c denotes the ground state solution associated to (fKdV) evolving with velocity c , then,...
Gespeichert in:
| Veröffentlicht in: | Revista matemática iberoamericana 2023-01, Vol.39 (5), p.1813-1862 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We construct N -soliton solutions for the fractional Korteweg–de Vries (fKdV) equation
\partial_t u - \partial_x(|D|^{\alpha}u - u^2 )=0,
in the whole sub-critical range \alpha \in(1/2,2) . More precisely, if Q_c denotes the ground state solution associated to (fKdV) evolving with velocity c , then, given 0 |
|---|---|
| ISSN: | 0213-2230 2235-0616 |
| DOI: | 10.4171/rmi/1396 |