A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
نویسندگان
چکیده
منابع مشابه
A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
In this paper, one-dimensional (1D) nonlinear Schrödinger equation iut − uxx +mu+ g(u, ū) ū = 0, with Periodic Boundary Conditions is considered; m / ∈ 1 12Z is a real parameter and the nonlinearity g(u, ū)= ∑ j,l,j+l 4 ajlu j ū , aj l = alj ∈ R, a22 = 0 is a real analytic function in a neighborhood of the origin. The KAM machinery is adapted to fit the above equation so as to construct small-a...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2005
ISSN: 0022-0396
DOI: 10.1016/j.jde.2004.09.013