Stability of KAM Tori for Nonlinear Schrodinger Equation

Author : Hongzi Cong,Xiaoping Yuan

Paperback

Published : Saturday 30 January 2016

ISBN : 9781470416577

Price : €80.73

Description

The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear Schrodinger equation $$\sqrt -1 \, u_ t =u_ xx -M_ \xi u+\varepsilon|u|^2u,$$ subject to Dirichlet boundary conditions $u(t,0)=u(t,\pi)=0$, where $M_ \xi $ is a real Fourier multiplier.

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