Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems

Details Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems

2005-10-26

arxiv.org/abs/nlin/0510068v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

28 pages

Scientific paper

Rational Lax hierarchies introduced by Krichever are generalized. A systematic construction of infinite multi-Hamiltonian hierarchies and related conserved quantities is presented. The method is based on the classical R-matrix approach applied to Poisson algebras. A proof, that Poisson operators constructed near different points of Laurent expansion of Lax functions are equal, is given. All results are illustrated by several examples.

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