Classical R-matrix theory of dispersionless systems: I. (1+1)-dimension theory
Maciej Blaszak, Blazej M. Szablikowski
Abstract
A systematic way of construction of (1+1)-dimensional dispersionless integrable Hamiltonian systems is presented. The method is based on the classical R-matrix on Poisson algebras of formal Laurent series. Results are illustrated with the known and new (1+1)-dimensional dispersionless systems.
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