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Moyal Lax Integrability Of Standard And Pseudo Hierarchy Equations
[Full Text]
AUTHOR(S)
EL Boukili, M. Nach, M. B. Sedra
KEYWORDS
Index Terms: Moyal noncommutativity, integrability, Lax equations, Burgers equation, KdV equations
ABSTRACT
Abstract: In This paper we will study Non commutative sln-KdV hierarchy equations by the means of Moyal Non commutative Lax generating technics. We will make some consistent assumptions shown to be essential in deriving the Lax pair of special noncommutative integrables systems, for this we calculate positive and negative orders of Moyal Noncommutative hierarchy equations for Burgers and KdV systems. We present also the conditions of having linear equations and giving the ansatz Process and the NC hierarchy equations in the general case.
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