Soliton dynamics for a general class of Schrödinger equations

2009/07/09 by Servadei, Raffaella, Squassina, Marco
#35Q40 #81Q05 #83C50 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0907.1550

Abstract

The soliton dynamics for a general class of nonlinear focusing Schrödinger problems in presence of non-constant external (local and nonlocal) potentials is studied by taking as initial datum the ground state solution of an associated autonomous elliptic equation.

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