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

Blazej M. Szablikowski·Maciej Blaszak
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Abstract

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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Blazej M. Szablikowski, Maciej Blaszak. 2005-10-26. Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems. https://doi.org/10.1063/1.2344853

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