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

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

2002-11-06

arxiv.org/abs/nlin/0211008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages

Scientific paper

10.1088/0305-4470/35/48/308

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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