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

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

2002-11-13

arxiv.org/abs/nlin/0211018v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages

Scientific paper

10.1088/0305-4470/35/48/309

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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