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

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

2006-10-11

arxiv.org/abs/math/0610381v2

Mathematics

Analysis of PDEs

31 Pages

Scientific paper

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.

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