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IJSTR >> Volume 2- Issue 5, May 2013 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

Moyal Lax Integrability Of Standard And Pseudo Hierarchy Equations

[Full Text]



EL Boukili, M. Nach, M. B. Sedra



Index Terms: Moyal noncommutativity, integrability, Lax equations, Burgers equation, KdV equations



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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