scientific article

zbMath0786.58019MaRDI QIDQ4028307

S. A. Savelieva, Anatoly M. Vershik, Mikhail V. Saveliev, Rinat M. Kashaev

Publication date: 28 March 1993

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zbMATH Keywords

infinite-dimensional Lie algebranonlinear equationsdiffeomorphism groups

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

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Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system ⋮ SDiff(2) Toda equation --- hierarchy, tau function, and symmetries

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