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

Marco Squassina, Marco Caliari

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

5 Citazioni (Scopus)

Abstract

We provide some numerical computations for the soliton dynamics of the nonlinear Schr\"odinger 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 datum modelled on r is driven by the solution of a Newtonian type law. Finally, we provide some examples and analyze the numerical errors in the two dimensional case when V is an harmonic potential
Lingua originaleEnglish
pagine (da-a)1-12
Numero di pagine12
RivistaElectronic Journal of Differential Equations
Volume89
Stato di pubblicazionePubblicato - 2010

Keywords

  • Numerical computations NLS equations

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