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Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Soliton equations, Riemann surface, Bogoyavlensky lattice, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Theta functions and curves; Schottky problem, algebro-geometric solutions, Lattice dynamics; integrable lattice equations, Asymptotic expansions of solutions to PDEs
Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, Soliton equations, Riemann surface, Bogoyavlensky lattice, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Theta functions and curves; Schottky problem, algebro-geometric solutions, Lattice dynamics; integrable lattice equations, Asymptotic expansions of solutions to PDEs
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