Tame majorant analyticity for the Birkhoff map of the defocusing nonlinear Schrödinger equation on the circle
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DOI: 10.1088/1361-6544/aaa7ba
Abstract: For the defocusing Nonlinear Schr\"odinger equation on the circle, we construct a Birkhoff map $\Phi$ which is tame majorant analytic in a neighborhood of the origin. Roughly speaking, majorant analytic means that replacing the coefficients… read more here.
Keywords: nonlinear schr; tame majorant; map; defocusing nonlinear ... See more keywords
Recurrence due to periodic multisoliton fission in the defocusing nonlinear Schrödinger equation.
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DOI: 10.1103/physreve.96.052213
Abstract: We address the degree of universality of the Fermi-Pasta-Ulam recurrence induced by multisoliton fission from a harmonic excitation by analyzing the case of the semiclassical defocusing nonlinear Schrödinger equation, which models nonlinear wave propagation in… read more here.
Keywords: dinger equation; nonlinear schr; recurrence; defocusing nonlinear ... See more keywords