The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• ISSN: 1815-0659
• Main Authors: Durhuus, B., Gayral, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146317
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation / B. Durhuus, V. Gayral // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ.

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...