Perturbation Expansion and N-th Order Fermi Golden Rule of the Nonlinear Schrödinger Equations

Abstract

In this paper we consider generalized nonlinear Schrödinger equations with external potentials. we compute the forth and the sixed order Fermi Golden Rules (FGR), conjectured in our previous papers, which is used in a study of the asymptotic dynamics of trapped solitons.

arXiv comment31 Pages