Mathematical Sciences Classification System
37Kxx - Infinite-dimensional Hamiltonian systems
[See also 35Axx, 35Qxx]
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37K05Hamiltonian structures, symmetries, variational principles, conservation laws
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37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
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37K15Integration of completely integrable systems by inverse spectral and scattering methods
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37K20Relations with algebraic geometry, complex analysis, special functions [See also 14H70]
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37K25Relations with differential geometry
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37K30Relations with infinite-dimensional Lie algebras and other algebraic structures
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37K35Lie-Bäcklund and other transformations
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37K40Soliton theory, asymptotic behavior of solutions
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37K45Stability problems
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37K50Bifurcation problems
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37K55Perturbations, KAM for infinite-dimensional systems
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37K60Lattice dynamics [See also 37L60]
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37K65Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics
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37K99None of the above, but in this section