Periodic and solitary wave solutions of generalized nonlinear Schrodinger equation using a madelung fluid description
Anno: 2010
Autori: Grecu D., Fedele R., De Nicola S., Grecu A.T., Visinescu A.
Affiliazione autori: Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering Horia Hulubei, Bucharest, RO-077125, Romania;
Dipartimento di Scienze Fisiche, Universita Federico II and INFN Sezione di Napoli, Napoli, Italy;
CNR – Istituto Nazionale di Ottica, Pozzuoli (NA), Italy
Abstract: The hydrodynamic fluid description, proposed many years ago by E. Madelung(1927) for quantum mechanics, is used to discuss the class of nonlinear Schrodinger equations. In the case of stationary profile solutions the equation satisfied by the fluid density ρ = j j2 is integrated and periodic solutions expressed through Jacobi elliptic functions are derived for cubic and cubic + quintic nonlinearities. In the limit case k2 = 1 the solitary wave solution found for the cubic + quintic nonlinearity proves tobe much steeper and narrower than the one-soliton solution of the cubic NLS equation.
Giornale/Rivista: ROMANIAN JOURNAL OF PHYSICS
Volume: 55 (9-10) Da Pagina: 980 A: 994
Parole chiavi: NONLINEAR EVOLUTION; PERIODIC SOLUTIONS; SOLITONSCitazioni: 6dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-04-28Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui