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Classical R-matrix theory of dispersionless systems: II. (2+1)-dimension theory

Maciej Blaszak·Blazej M. Szablikowski
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Abstract

A systematic way of construction of (2+1)-dimensional dispersionless integrable Hamiltonian systems is presented. The method is based on the so-called central extension procedure and classical R-matrix applied to the Poisson algebras of formal Laurent series. Results are illustrated with the known and new (2+1)-dimensional dispersionless systems.

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Maciej Blaszak, Blazej M. Szablikowski. 2002-11-13. Classical R-matrix theory of dispersionless systems: II. (2+1)-dimension theory. https://doi.org/10.1088/0305-4470%2F35%2F48%2F309

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