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Hydrodynamics of soliton lattices

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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.

Author(s): B. Dubrovin
Series: Soviet Scientific Reviews Series, Section C
Edition: 1
Publisher: Routledge
Year: 1993

Language: English
Pages: 139
Tags: Механика;Механика жидкостей и газов;Гидромеханика;