a b s t r a c t Two kinds of coupling integrable couplings of the mKdV hierarchy are obtained, respectively, by making use of two higher-dimensional Lie algebras in the vector forms. The Hamiltonian structure of one reduced coupling integrable coupling of them is worked out by employing the variatio
The new integrable system of the complex form and the coupled mkdv hierarchy
β Scribed by Chen Qinghui; Zhang Baocai
- Book ID
- 107502054
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 1997
- Tongue
- English
- Weight
- 222 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1005-1031
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
a b s t r a c t Lie algebras and Lie super algebra are constructed and integrable couplings of NLS-MKdV hierarchy are obtained. Furthermore, its Hamiltonian and Super-Hamiltonian are presented by using of quadric-form identity and super-trace identity. The method can be used to produce the Hamiltoni
We construct a new family of quasigraded Lie algebras that admit the Kostant-Adler scheme. They coincide with special quasigraded deformations of twisted subalgebras of the loop algebras. Using them we obtain new hierarchies of integrable equations in partial derivatives. They coincide with the defo
## Two new loop algebras e F and e G are constructed, which are devoted to establishing the resulting isospectral problems. By taking use of the compatibility of Lax pairs, the two corresponding zero curvature equations are presented from which the integrable couplings of the KN hierarchy and the d