37Kxx Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx]
- 37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (4)
- 37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) (5)
- 37K15 Integration of completely integrable systems by inverse spectral and scattering methods
- 37K20 Relations with algebraic geometry, complex analysis, special functions [See also 14H70]
- 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 [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