We investigate the soliton dynamics for the fractional nonlinear Schrödinger 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
Secchi, S., Squassina, M. (2014). Soliton dynamics for fractional Schrödinger equations. APPLICABLE ANALYSIS, 93(8), 1702-1729 [10.1080/00036811.2013.844793].
Soliton dynamics for fractional Schrödinger equations
SECCHI, SIMONE;
2014
Abstract
We investigate the soliton dynamics for the fractional nonlinear Schrödinger 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
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