On the Algebra of -Deformed Pseudodifferential Operators-Reference-Cited by-同舟云学术

On the Algebra of -Deformed Pseudodifferential Operators

Published:2012-03-22 Issue: Volume:2012 Page:1-12
ISSN:2090-7427
Container-title:ISRN High Energy Physics
language:en
Short-container-title:ISRN High Energy Physics

Author:

EL Boukili Abderrahman¹,Sedra Moulay Brahim¹

Affiliation:

1. Département de Physique, Laboratoire des Hautes Energies, Sciences de l'Ingénierie et Réacteurs (LHESIR), Faculté des Sciences, Université Ibn Tofail, Kénitra, Morocco

Abstract

While basing on the study that we we achieved on pseudodifferential operators in the works [arXiv:0708.4046 and hep-th/0610056 ], we interest in this paper to the construction of the algebra of -deformed pseudodifferential operators. We use this algebraic structure to study in particular -Burgers and -KdV differential operators by the Lax generating technique. We give -deformed Lax equations as well as the report between these equations through the -deformed Burgers-KdV mapping.

Publisher

Hindawi Limited

Subject

General Medicine

Link

http://downloads.hindawi.com/archive/2012/503621.pdf

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