doi: 10.17706/ijapm.2015.5.3.177-184
Nonlinear Super Integrable Couplings of Super Classical Boussinesq Hierarchy
Sixing Tao
1
,
- 1 School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu 476000, China
- 2 School of Physics and Electronic Information, Shangqiu Normal University, Shangqiu, 476000, China.
Abstract
Enlargement of Lie super algebra B(0, 1) was given firstly. Then nonlinear super integrable couplings of the super classical Boussinesq hierarchy based upon this enlarged matrix Lie super algebra were constructed secondly. And its super Hamiltonian structures were established by using super trace identity thirdly. As its reduction, special integrable couplings of classical Boussinesq hierarchy were obtained finally.
Keywords
- Lie super algebra
- super integrable couplings
- super classical Boussinesq hierarchy
- super Hamiltonian structures
How to Cite
Sixing Tao and Hui Shi, "Nonlinear Super Integrable Couplings of Super Classical Boussinesq Hierarchy," International Journal of Applied Physics and Mathematics, vol. 5, no. 3, pp. 177-184, 2015. https://doi.org/ 10.17706/ijapm.2015.5.3.177-184
Copyright & License
Copyright © 2015 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).