Exactly solvable model for nonlinear pulse propagation in optical fibers
| dc.creator | Lenells, Jonatan | |
| dc.date | 2008-10-29 | |
| dc.date.accessioned | 2026-07-07T10:13:56Z | |
| dc.date.available | 2026-07-07T10:13:56Z | |
| dc.description | The nonlinear Schrödinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation which was first derived by means of bi-Hamiltonian methods in [A. S. Fokas, {\it Phys. D} {\bf 87} (1995), 145--150]. The purpose of the present paper is threefold: (a) We show how this generalized NLS equation arises as a model for nonlinear pulse propagation in monomode optical fibers when certain higher-order nonlinear effects are taken into account; (b) We show that the equation is equivalent, up to a simple change of variables, to the first negative member of the integrable hierarchy associated with the derivative nonlinear Schrödinger equation; (c) We analyze traveling-wave solutions. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0810.5289 | |
| dc.identifier | http://arxiv.org/abs/0810.5289 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172706 | |
| dc.subject | Optics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Exactly solvable model for nonlinear pulse propagation in optical fibers | |
| dc.type | text |