Integrable geodesic flows on 2-torus: Formal solutions and variational principle

Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

Boris Dubrovin, S. P. Novikov · Russian Mathematical Surveys · 1989 · 429 citations

Hamiltonian Theory, Physics, Oscillatory Zone +6

THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD

S. P. Tsarëv · Mathematics of the USSR-Izvestiya · 1991 · 395 citations

Hamiltonian Theory, Quasilinear Equations, Hydrodynamics +6

Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature

O. I. Mokhov, E. V. Ferapontov · Russian Mathematical Surveys · 1990 · 108 citations

Hydrodynamic Type, Constant Curvature, Geometric Partial Differential Equation +5

GEODESIC FLOWS ON TWO-DIMENSIONAL MANIFOLDS WITH AN ADDITIONAL FIRST INTEGRAL THAT IS POLYNOMIAL IN THE VELOCITIES

Vassili N. Kolokoltsov · Mathematics of the USSR-Izvestiya · 1983 · 84 citations

Global Geometry, Geometric Partial Differential Equation, Geometry +8

Tri-Hamiltonian Structures of Egorov Systems of Hydrodynamic Type

M. V. Pavlov, S. P. Tsarëv · Functional Analysis and Its Applications · 2003 · 41 citations