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Stability of KAM Tori for Nonlinear Schrodinger Equation

By: Hongzi Cong (Author) , Jianjun Liu (Author) , Xiaoping Yuan (Author)

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Ksh 18,650.00

Format: Paperback or Softback

ISBN-13: 9781470416577

Publisher: American Mathematical Society

Publication Date: Jan 30th, 2016

Category: Differential calculus & equations

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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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