Turkish Journal of Physics
DOI
10.3906/fiz-1902-16
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
First Page
293
Last Page
301
Recommended Citation
SAIDI, ABDELALI and SEDRA, MOULAY BRAHIM
(2019)
"The Hirota-Satsuma coupled KdV hierarchy on noncommutative phase-space,"
Turkish Journal of Physics: Vol. 43:
No.
3, Article 9.
https://doi.org/10.3906/fiz-1902-16
Available at:
https://journals.tubitak.gov.tr/physics/vol43/iss3/9
