Turkish Journal of Physics
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.
Noncommutative geometry, Hirota-Satsuma coupled KdV system, Moyal deformation
SAIDI, ABDELALI and SEDRA, MOULAY BRAHIM
"The Hirota-Satsuma coupled KdV hierarchy on noncommutative phase-space,"
Turkish Journal of Physics: Vol. 43:
3, Article 9.
Available at: https://journals.tubitak.gov.tr/physics/vol43/iss3/9