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On two-dimensional manifolds with constant Gaussian curvature and their associated equations. (English) Zbl 1252.35129

MSC:
35G20 Nonlinear higher-order PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
53A05 Surfaces in Euclidean and related spaces
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
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