Perturbation Expansion and N-th Order Fermi Golden Rule of the Nonlinear   Schr\"odinger Equations
  In this paper we consider generalized nonlinear Schr\"odinger 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. 
Zhou Gang