The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation

We investigate scattering properties of a Moyal deformed version of the nonlinear Schrödinger equation in an even number of space dimensions. With rather weak conditions on the degree of nonlinearity, the Cauchy problem for general initial data has a unique globally defined solution, and also has so...

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Bibliographic Details
Main Authors: Bergfinnur Durhuus, Victor Gayral
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.046