Volume 4, Issue 3-2, May 2015, Page: 17-22
Notes on the Boussinesq Integrable Hierarchy
O. Dafounansou, Department of Physics, Faculty of Science, Douala University, Douala, Cameroun
D. C. Mbah, CEPAMOQ, Douala University, Douala, Cameroun
A. Boulahoual, LHESIR, Faculty of Science of Kenitra, Ibn Toufail University, Kenitra, Morocco
M. B. Sedra, LHESIR, Faculty of Science of Kenitra, Ibn Toufail University, Kenitra, Morocco; ENSAH, Mohammed First University, Al Hoceima, Morocco
Received: Nov. 20, 2014;       Accepted: Nov. 28, 2014;       Published: Dec. 15, 2014
DOI: 10.11648/j.ijrse.s.2015040302.14      View  3796      Downloads  117
Abstract
This work is dedicated to some notes on the Moyal momentum algebras applied to the sl_3 Boussinesq integrable hierarchy. Starting from a brief review of the Moyal momentum algebra structures, we establish in detail the Non-commutative Boussinesq hierarchy by using the Lax pair Generating Technique. Then we shows that these equations can be obtained as 3-reduction of Non-commutative KP hierarchy in a similarly form via some conformal realizations.
Keywords
Moyal Momentum Algebra, Moyal KP Hierarchy, Non-Commutative Boussinesq Hierarchy
To cite this article
O. Dafounansou, D. C. Mbah, A. Boulahoual, M. B. Sedra, Notes on the Boussinesq Integrable Hierarchy, International Journal of Sustainable and Green Energy. Special Issue:Wind-Generated Waves, 2D Integrable KdV Hierarchies and Solitons. Vol. 4, No. 3-2, 2015, pp. 17-22. doi: 10.11648/j.ijrse.s.2015040302.14
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