Soliton dynamics for fractional Schrodinger equations
Abstract
We investigate the soliton dynamics for the fractional nonlinear Schrodinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates along a trajectory determined by a Newtonian equation depending of the fractional diffusion parameter.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.1804
- arXiv:
- arXiv:1305.1804
- Bibcode:
- 2013arXiv1305.1804S
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35Q51;
- 35Q40;
- 35Q41
- E-Print:
- 22 pages