Activities / Library

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