Category of topological jet manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems
Copyright policy )Category of topological jet manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems
The author proposes a new category of the topological jet-manifolds, which are used for the study of the exact finite dimensional approximations of the nonlinear dynamical systems on infinite dimensional functional manifolds. The results are applied towards the problems of the integrability in quadratures of the Lax equation.
Manifolds of mappings, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Superalgebras, Supermanifolds and graded manifolds, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Lax equation, topological jet- manifolds, integrable systems, supermanifold, superalgebra, Jets in global analysis
Manifolds of mappings, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Superalgebras, Supermanifolds and graded manifolds, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Lax equation, topological jet- manifolds, integrable systems, supermanifold, superalgebra, Jets in global analysis
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