The Hirota-Satsuma coupled KdV hierarchy on noncommutative phase-space

Authors: ABDELALI SAIDI, MOULAY BRAHIM SEDRA

Abstract: In the present contribution, the Hirota-Satsuma coupled KdV hierarchy on noncommutative phase-space is investigated using the noncommutative extension of Lax pair generating technique. In particular, the explicit representation of its associated Lax pair operators is constructed. It is shown that the obtained results for phase-space noncommutativity case reduce back to the standard commutative case when θ goes to ½.

Keywords: Noncommutative geometry, Hirota-Satsuma coupled KdV system, Moyal deformation

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