Liouville Integrability of a Class of Integrable Spin Calogero-Moser Systems and Exponents of Simple Lie Algebras
โ Scribed by Luen-Chau Li; Zhaohu Nie
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 319 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0010-3616
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๐ 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