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  • 37-XX Dynamical systems and ergodic theory
  • 37Kxx Infinite-dimensional Hamiltonian systems
  • 37K35 Lie-Bäcklund and other transformations

37Kxx Infinite-dimensional Hamiltonian systems

  • 37K05 Hamiltonian structures, symmetries, variational principles, conservation laws
  • 37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
  • 37K15 Integration of completely integrable systems by inverse spectral and scattering methods
  • 37K20 Relations with algebraic geometry, complex analysis, special functions
  • 37K25 Relations with differential geometry
  • 37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures
  • 37K35 Lie-Bäcklund and other transformations
  • 37K40 Soliton theory, asymptotic behavior of solutions
  • 37K45 Stability problems
  • 37K50 Bifurcation problems
  • 37K55 Perturbations, KAM for infinite-dimensional systems
  • 37K60 Lattice dynamics
  • 37K65 Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics
  • 37K99 None of the above, but in this section
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