TY - JOUR
T1 - Numerical computation of soliton dynamics for NLS equations in a driving potential
AU - Caliari, M.
AU - Squassina, Marco
PY - 2010
Y1 - 2010
N2 - 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
AB - 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
KW - Numerical computations NLS equations
KW - Numerical computations NLS equations
UR - https://publicatt.unicatt.it/handle/10807/90746
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=77955505589&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77955505589&origin=inward
M3 - Article
SN - 1072-6691
VL - 89
SP - 1
EP - 12
JO - Electronic Journal of Differential Equations
JF - Electronic Journal of Differential Equations
IS - N/A
ER -