Fedele, Renato (2009) Madelung fluid description of generalized derivative NLS equation: special solutions and their stability. [Pubblicazione in rivista scientifica]
Full text not available from this repository.| Item Type: | Pubblicazione in rivista scientifica | ||||
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| Lingua: | English | ||||
| Title: | Madelung fluid description of generalized derivative NLS equation: special solutions and their stability | ||||
| Creators: |
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| Autore/i: | A. Visinescu, D. Grecu, R. Fedele, S. De Nicola | ||||
| Date: | 2009 | ||||
| Number of Pages: | 9 | ||||
| Department: | Scienze fisiche | ||||
| Identification Number: | 10.1007/s11232-009-0098-z | ||||
| Journal or Publication Title: | THEORETICAL AND MATHEMATICAL PHYSICS | ||||
| Date: | 2009 | ||||
| Volume: | 160 | ||||
| Page Range: | pp. 1066-1074 | ||||
| Number of Pages: | 9 | ||||
| Uncontrolled Keywords: | nonlinear partial differential equation, generalized nonlinear Schroedinger equation, generalized Korteweg–de Vries equation, Madelung fluid description | ||||
| Identification Number: | 10.1007/s11232-009-0098-z | ||||
| Date Deposited: | 21 Oct 2010 06:56 | ||||
| Last Modified: | 30 Apr 2014 19:43 | ||||
| URI: | http://www.fedoa.unina.it/id/eprint/7446 |
Abstract
A correspondence between the families of generalized nonlinear Schr¨odinger (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.
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