37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 114152

37Kxx Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [See also 35Axx, 35Qxx] 17904

37K06 General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws 11

37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 10336

37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems 1142

37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions [See also 14H70] 839

37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry 659

37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures 971

37K35 Lie-BĂ¤cklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems 1920

37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems 2740

37K58 Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems 2