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Название: Hydrodynamics of soliton lattices
Авторы: Dubrovin B.A., Novikov S.P.
Work carried out during the last few years on the geometry of Hamiltonian systems, including hydrodynamic-type systems and their Poisson brackets, is reviewed. The theory of the integrability of hydrodynamic- type systems is presented. Applications of the formalism developed to problems of the hydrodynamics of weakly deformed soliton lattices — slow modulations of families of periodic and quasiperiodic solutions of nonlinear evolution systems, are described.