Numerical Computation of Soliton Dynamics for Nls Equations in a Driving Potential
نویسنده
چکیده
We provide some numerical computations for the soliton dynamics of the nonlinear Schrödinger 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 ẍ = −∇V (x). Finally, we provide some examples and analyze the numerical errors in the two dimensional case when V is an harmonic potential.
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