Dark solitons for a generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities
✍ Scribed by Houria Triki; Anjan Biswas
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 94 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1414
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✦ Synopsis
The dynamics of dark solitons is studied within the framework of a generalized nonlinear Schrödinger equation. The specific cases of parabolic law and dual-power law nonlinearity are considered. The solitary wave ansatz method is used to carry out the integration. All the physical parameters in the soliton solutions are obtained as functions of the dependent model coefficients. Parametric conditions for the existence of envelope solitons are given.
📜 SIMILAR VOLUMES
In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin