On the Algebra of -Deformed Pseudodifferential Operators | Zendy

A. El Boukili | Zendy; M. B. Sedra | Zendy

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On the Algebra of -Deformed Pseudodifferential Operators

Author(s) -

A. El Boukili,

M. B. Sedra

Publication year - 2012

Publication title -

isrn high energy physics

Language(s) - English

Resource type - Journals

eISSN - 2090-7427

pISSN - 2090-7419

DOI - 10.5402/2012/503621

Subject(s) - pseudodifferential operators , korteweg–de vries equation , mathematics , algebra over a field , algebraic number , pure mathematics , mathematical analysis , physics , quantum mechanics , nonlinear system

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.

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