Periodic and stationary wave solutions of coupled NLS equations
Year: 2010
Authors: Grecu D., Visinescu A., Fedele R., De Nicola S.
Autors Affiliation: Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering Horia Hulubei, P.O.Box MG-6, RO-077125 Bucharest-Magurele, Romania;
Department of Physical Sciences, University Federico II and INFN Sezione di Napoli, Complesso Universitario di M.S. Angelo, via Cintia, I-80126 Napoli, Italy;
Istituto di Cibernetica Eduardo Caianello del CNR Comprensorio A. Olivetti Fabbr. 70, Via Campi Flegrei 34, I-80078 Pozzuoli (NA), Italy
Abstract: A system of coupled NLS equations (integrable and non-integrable) isdiscussed using a Madelung fluid description. The problem is equivalent with a twocomponent fluid of densities ρ1 and ρ2 and velocities υ1 and υ2, which satisfy equations of continuity and equations of motion. Provided that the nonlinear coupling coefficients are identical, several periodic solutions, expressed through Jacobi elliptic functions, and localized solutions in the form of bright, dark and grey solitons were obtained in different simplifying conditions (motion with constant but equal velocities, i.e. υ1 = υ2 = υ, and equal ”energies”, i.e. E1 = E2 = E; motion with stationary profile of the current velocity). For different ”energies” (E1 ≠ E2) a direct method is used, which can be easily extended to more complex situations (different nonlinear coupling coefficients, i.e. β and γ).
Journal/Review: ROMANIAN JOURNAL OF PHYSICS
Volume: 55 (5-6) Pages from: 585 to: 600
KeyWords: NONLINEAR EQUATION; FLUID DESCRIPTION; Schrödinger equationsImpactFactor: 0.340Citations: 11data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-24References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here
