On the Darboux and Birkhoff steps in the asymptotic stability of solitons

Abstract

We give a unified proof of the step to find Darboux coordinates and of the ensuing Birkhoff normal forms procedure, developed in the course of the proof of asymptotic stability of solitary waves for NLS and special cases of Nonlinear Dirac equations

revised version

References in corpus (2)

• Asymptotic stability of N-soliton states of NLS
• On instability of excited states of the nonlinear Schrödinger equation