Soliton dynamics for fractional Schrodinger equations
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🧮 math.AP
keywords
fractionaldynamicsequationschrodingersolitonalongconcentratesdepending
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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.
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