Numerical computation of soliton dynamics for NLS equations in a driving potential

We provide numerical computations for the soliton dynamics of the nonlinear Schrodinger equation with an external potential. After computing the ground state solution r of a related elliptic equation we show that, in the semi-classical regime, the center of mass of the solution with initial datu...

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Bibliographic Details
Main Authors: Marco Caliari, Marco Squassina
Format: Article
Language:English
Published: Texas State University 2010-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/89/abstr.html