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Stability of KAM tori for nonlinear Schrödinger equation

The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear Schrödinger 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. More precisely, they s...

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Detalles Bibliográficos
Autores principales: Cong, Hongzi, Liu, Jianjun, Yuan, Xiaoping
Lenguaje:eng
Publicado: American Mathematical Society 2016
Materias:
Acceso en línea:http://cds.cern.ch/record/2622894