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

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.

23 pages

References in corpus (2)

• Classical R-matrix theory of dispersionless systems: I. (1+1)-dimension theory
• Classical $\mathbf{r}$-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras

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