doi: 10.7763/IJAPM.2011.V1.14
Two New Integrable Couplings of Soliton Hierarchies with Self-consistent Sources
Sixing Tao
1
,
Hui Shi
2
- 1 the Department of Mathematics, Shangqiu Normal University, Shangqiu, 476000, China
- 2 the Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu, 476000, China
Abstract
A new kind of integrable couplings of soliton hierarchies with self-consistent sources associated with sl(4) was presented. Based upon this method, two new integrable couplings associated with Li soliton hierarchy and BKK soliton hierarchy with self-consistent sources were obtained by making use of loop algebra sl(4) respectively. Meanwhile, their Hamiltonian structures of the integrable couplings of Li and BKK soliton hierarchies were obtained by making use of variational identity . The method in this study can be applied to other soliton hierarchies with self-consistent sources.
How to Cite
Sixing Tao and Hui Shi, "Two New Integrable Couplings of Soliton Hierarchies with Self-consistent Sources," International Journal of Applied Physics and Mathematics, vol. 1, no. 1, pp. 72-77, 2011. https://doi.org/ 10.7763/IJAPM.2011.V1.14
Copyright & License
Copyright © 2011 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).