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Hamiltonian systems with 2-degrees of freedom, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Hamiltonian structures, symmetries, variational principles, conservation laws, polynomial integrability, homogeneous potentials of degree \(k\)
Hamiltonian systems with 2-degrees of freedom, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Hamiltonian structures, symmetries, variational principles, conservation laws, polynomial integrability, homogeneous potentials of degree \(k\)
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