Cylindrical nonlinear Schroedinger equation versus cylindrical Korteweg-de Vries equation
Journal Article
·
· AIP Conference Proceedings
- Dipartimento di Scienze Fisiche, Universita Federico II and INFN Sezione di Napoli, Complesso Universitario di M.S. Angelo, Via Cintia, I-80126 Napoli (Italy)
- Istituto di Cibernetica del C.N.R. 'Eduardo Caianiello', Viale Campi Flegrei, 34, I-80078 Pozzuoli (Italy)
- Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering 'Horia Hulubei', Bucharest-Magurele, Atomistilor Street 407 Magurele, Ilfov, CP-MG-6 (Romania)
- Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
A correspondence between the family of cylindrical nonlinear Schroedinger (cNLS) equations and the one of cylindrical Korteweg-de Vries (cKdV) equations is constructed. It associates non stationary solutions of the first family with the ones of the second family. This is done by using a correspondence, recently found, between the families of generalized NLS equation and generalized KdV equation, and their solutions in the form of travelling waves, respectively. In particular, non-stationary soliton-like solutions of the cNLS equation can be associated with non-stationary soliton-like solutions of cKdV equation.
- OSTI ID:
- 21251526
- Journal Information:
- AIP Conference Proceedings, Vol. 1061, Issue 1; Conference: 2008 ICTP international workshop on the frontiers of modern plasma physics, Trieste (Italy), 14-25 Jul 2008; Other Information: DOI: 10.1063/1.3013778; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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