arXiv:1305.1804 Abstract | arXiv Analytics

arXiv:1305.1804 [math.AP]Abstract References Reviews Resources

Soliton dynamics for fractional Schrodinger equations

Published 2013-05-08, updated 2013-05-23Version 2

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.

Comments: 22 pages

Categories: math.AP

Subjects: 35Q51, 35Q40, 35Q41

Keywords: fractional schrodinger equations, soliton dynamics, fractional nonlinear schrodinger equation, fractional diffusion parameter, suitable modulational inequality

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