scientific article

zbMath0437.58008MaRDI QIDQ3878427

I. E. Frenkel, A. G. Reyman, Michaael A. Semenov-Tian-Shansky

Publication date: 1979

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

method of orbitsreal semi-simple Lie algebraalgebra of Laurent polynomialsHamiltonian systems of Lax type

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Graded Lie (super)algebras (17B70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items

Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows, Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras, Integrable systems and algebraic surfaces, Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers, Completely integrable systems, Euclidean Lie algebras, and curves, Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory, Darboux coordinates and Liouville-Arnold integration in loop algebras, Finite-dimensional coadjoint orbits in loop algebras