Semiclassical evolution of two rotating solitons for the Nonlinear Schrödinger Equation with electric potential

Abstract

In this paper we study the dynamics in the semiclassical limit of some classes of solutions for an energy-subcritical focusing nonlinear Schrödinger equation in the presence of an electric potential. We prove the existence of a symmetric configuration of two solitons rotating around a common pole. The existence of such solutions derives mainly from the balance between the attracting force of the two solitons and the centrifugal force due to the rotation and not from the trapping effect of the potential.