Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schrödinger equation with harmonic trapping
نویسندگان
چکیده
منابع مشابه
Resonant Hamiltonian Systems Associated to the One-dimensional Nonlinear Schrödinger Equation with Harmonic Trapping
We study two resonant Hamiltonian systems on the phase space L2(R → C): the quintic one-dimensional continuous resonant equation, and a cubic resonant system that appears as the modified scattering limit of a specific NLS equation. We prove that these systems approximate the dynamics of the quintic and cubic one-dimensional NLS with harmonic trapping in the small data regime on long times scale...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2019
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605302.2019.1634725