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., Soliton dynamics for fractional Schrodinger equations, <<APPLICABLE ANALYSIS>>, 2014; 93 (N/A): 1702-1729. [doi:10.1080/00036811.2013.844793] [http://hdl.handle.net/10807/87881]
Soliton dynamics for fractional Schrodinger equations
Squassina, MarcoUltimo
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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