Quasi-periodic Solutions of 1d Nonlinear Schrödinger Equation with a Multiplicative Potential
نویسنده
چکیده
This paper deals with one-dimensional (1D) nonlinear Schrödinger equation with a multiplicative potential, subject to Dirichlet boundary conditions. It is proved that for each prescribed integer b > 1, the equation admits smallamplitude quasi-periodic solutions, whose b-dimensional frequencies are small dilation of a given Diophantine vector. The proof is based on a modified infinitedimensional KAM theory.
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