On a novel integrable generalization of the nonlinear Schrödinger equation
| dc.creator | Lenells, J. | |
| dc.creator | Fokas, A. S. | |
| dc.date | 2008-12-08 | |
| dc.date.accessioned | 2026-07-07T12:10:16Z | |
| dc.date.available | 2026-07-07T12:10:16Z | |
| dc.description | We consider an integrable generalization of the nonlinear Schrödinger (NLS) equation that was recently derived by one of the authors using bi-Hamiltonian methods. This equation is related to the NLS equation in the same way that the Camassa Holm equation is related to the KdV equation. In this paper we: (a) Use the bi-Hamiltonian structure to write down the first few conservation laws. (b) Derive a Lax pair. (c) Use the Lax pair to solve the initial value problem. (d) Analyze solitons. | |
| dc.description | 20 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0812.1510 | |
| dc.identifier | http://arxiv.org/abs/0812.1510 | |
| dc.identifier | Nonlinearity 22 (2009), 11--27 | |
| dc.identifier | doi:10.1088/0951-7715/22/1/002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209885 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | On a novel integrable generalization of the nonlinear Schrödinger equation | |
| dc.type | text |