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- Stability of KAM Tori for Nonlinear Schrodinger Equation
Stability of KAM Tori for Nonlinear Schrodinger Equation
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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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