Based on the study of the confocal Lax matrix, new confocal involutive systems and a new spectral problem are proposed from which a hierarchy of generalized coupled KdV equations is derived. The Abel-Jacobi coordinates are introduced to straighten out the associated ows. Algebro-geometric solutions
A Flagvariety Relating Matrix Hierarchies and Toda-Type Hierarchies
β Scribed by Gerardus F. Helminck
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 280 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A new isospectral problem is designed by considering a subalgebra A 1 of loop algebra e A A 1 , which possesses two power gaps of spectral parameter k. It follows that a new type of integrable system is obtained by choosing suitable modified term and Tu-model, which has bi-Hamiltonian structure. Fur
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