In this paper, we apply the new algebraic method to construct a integrable couplings of non-isospectral soliton equations by a loop algebra e slรฐ4ร. Furthermore, the non-isospectral integrable coupling system of the generalized Volterra lattice hierarchy is obtained.
Integrable couplings of a generalized AKNS hierarchy
โ Scribed by Zhang, Yu-feng ;Zhang, Hong-qing ;Yan, Qing-you
- Book ID
- 107505994
- Publisher
- Chinese Electronic Periodical Services
- Year
- 2002
- Tongue
- English
- Weight
- 305 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1005-9784
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๐ SIMILAR VOLUMES
Four higher-dimensional Lie algebras are introduced. With the help of their different loop algebras and the block matrices of Lax pairs for the zero curvature representations of two given integrable couplings, the two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy
## A new subalgebra of loop algebra ร A 1 is first constructed. Then a new Lax pair is presented, whose compatibility gives rise to a new Liouville integrable system(called a major result), possessing bi-Hamiltonian structures. It is remarkable that two symplectic operators obtained in this paper