Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
β Scribed by A. G. Reyman; M. A. Semenov-Tian-Shansky
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- English
- Weight
- 999 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
Staring from a new spectral problem, a hierarchy of the soliton equations is derived. It is shown that the associated hierarchies are infinite-dimensional integrable Hamiltonian systems. By the procedure of nonlinearization of the Lax pairs, the integrable decomposition of the whole soliton hierarch
In the first paper of this series a correspondence was established between coupled systems of two-dimensional nonlinear wave equations and the six-dimensional simply transitive Lie algebras. In the present paper we make use of this result to construct a Darboux integrable and exactly integrable non