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On the Spectrum of the Dirac Operator and the Existence of Discrete Eigenvalues for the Defocusing Nonlinear Schrödinger Equation

✍ Scribed by Biondini, Gino; Prinari, Barbara


Book ID
121011477
Publisher
John Wiley and Sons
Year
2013
Tongue
English
Weight
477 KB
Volume
132
Category
Article
ISSN
0022-2526

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We study the Whitham equations, which describe the semiclassical limit of the defocusing nonlinear Schrödinger equation. The limit is governed by a pair of hyperbolic equations of two independent variables for a short time starting from the initial time. After this hyperbolic solution breaks down, t