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.
| Published in |
International Journal of Sustainable and Green Energy (Volume 4, Issue 3-2)
This article belongs to the Special Issue Wind-Generated Waves, 2D Integrable KdV Hierarchies and Solitons |
| DOI | 10.11648/j.ijrse.s.2015040302.14 |
| Page(s) | 17-22 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Moyal Momentum Algebra, Moyal KP Hierarchy, Non-Commutative Boussinesq Hierarchy
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APA Style
O. Dafounansou, D. C. Mbah, A. Boulahoual, M. B. Sedra. (2014). Notes on the Boussinesq Integrable Hierarchy. International Journal of Sustainable and Green Energy, 4(3-2), 17-22. https://doi.org/10.11648/j.ijrse.s.2015040302.14
ACS Style
O. Dafounansou; D. C. Mbah; A. Boulahoual; M. B. Sedra. Notes on the Boussinesq Integrable Hierarchy. Int. J. Sustain. Green Energy 2014, 4(3-2), 17-22. doi: 10.11648/j.ijrse.s.2015040302.14
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Download@article{10.11648/j.ijrse.s.2015040302.14,
author = {O. Dafounansou and D. C. Mbah and A. Boulahoual and M. B. Sedra},
title = {Notes on the Boussinesq Integrable Hierarchy},
journal = {International Journal of Sustainable and Green Energy},
volume = {4},
number = {3-2},
pages = {17-22},
doi = {10.11648/j.ijrse.s.2015040302.14},
url = {https://doi.org/10.11648/j.ijrse.s.2015040302.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijrse.s.2015040302.14},
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.},
year = {2014}
}
TY - JOUR T1 - Notes on the Boussinesq Integrable Hierarchy AU - O. Dafounansou AU - D. C. Mbah AU - A. Boulahoual AU - M. B. Sedra Y1 - 2014/12/15 PY - 2014 N1 - https://doi.org/10.11648/j.ijrse.s.2015040302.14 DO - 10.11648/j.ijrse.s.2015040302.14 T2 - International Journal of Sustainable and Green Energy JF - International Journal of Sustainable and Green Energy JO - International Journal of Sustainable and Green Energy SP - 17 EP - 22 PB - Science Publishing Group SN - 2575-1549 UR - https://doi.org/10.11648/j.ijrse.s.2015040302.14 AB - 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. VL - 4 IS - 3-2 ER -
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