NUMERICAL COMPUTATION OF SOLITON DYNAMICS FOR NLS EQUATIONS IN A DRIVING POTENTIAL

作者：Caliari Marco^*; Squassina Marco

来源：Electronic Journal of Differential Equations, 2010, 89.

• Nonlinear Schrodinger equations
• ground states
• soliton dynamics in an external potential
• numerical computation of ground states
• semi-classical limit

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 datum built upon r is driven by the solution to <(x)double ver dot> - -del V (x). Finally, we provide examples and analyze the numerical errors in the two dimensional case when V is a harmonic potential.

• 出版日期2010-6-25