Mathematical Sciences Classification System

37Kxx - Infinite-dimensional Hamiltonian systems
[See also 35Axx, 35Qxx]

  • 2
    37K05
    Hamiltonian structures, symmetries, variational principles, conservation laws
  • 23
    37K10
    Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
  • 2
    37K15
    Integration of completely integrable systems by inverse spectral and scattering methods
  • 2
    37K20
    Relations with algebraic geometry, complex analysis, special functions [See also 14H70]
  • 2
    37K25
    Relations with differential geometry
  • 2
    37K30
    Relations with infinite-dimensional Lie algebras and other algebraic structures
  • 4
    37K35
    Lie-Bäcklund and other transformations
  • 4
    37K40
    Soliton theory, asymptotic behavior of solutions
  • 2
    37K45
    Stability problems
  • 2
    37K50
    Bifurcation problems
  • 1
    37K55
    Perturbations, KAM for infinite-dimensional systems
  • 4
    37K60
    Lattice dynamics [See also 37L60]
  • 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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