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

Özet

In the present contribution, the Hirota–Satsuma coupled KdV hierarchy on noncommutative phase-spaceis investigated using the noncommutative extension of Lax pair generating technique. In particular, the explicitrepresentation of its associated Lax pair operators is constructed. It is shown that the obtained results for phase-spacenoncommutativity case reduce back to the standard commutative case when goes to 1/2