Madelung fluid description of the generalized derivative nonlinear Schrodinger equation: special solutions and their stability
Year: 2009
Authors: Visinescu A., Grecu D., Fedele R., De Nicola S.
Autors Affiliation: Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering �Horia Hulubei,� Bucharest, Romania;
University �Federico II,� Naples, Italy;
Institute of Cybernetics �Eduardo Caianello,� Pozzuoli, Naples, Italy
Abstract: A correspondence between the families of generalized nonlinear Schrodinger (NLS) equations and generalized KdV equations was recently found using a Madelung fluid description. We similarly consider a special derivative NLS equation. We find a number of solitary waves and periodic solutions (expressed in terms of elliptic Jacobi functions) for a motion with a stationary profile current velocity. We study the stability of a bright solitary wave (ground state) by conjecturing that the Vakhitov-Kolokolov criterion is applicable.
Journal/Review: THEORETICAL AND MATHEMATICAL PHYSICS
Volume: 160 (1) Pages from: 1066 to: 1074
KeyWords: generalized nonlinear Schr�odinger equat; Madelung fluid description; Korteweg�de Vries equation,
DOI: 10.1007/s11232-009-0098-z
ImpactFactor: 0.796
Citations: 11
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2025-06-08
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