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A discrete time peakons lattice

Yuri B. Suris
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Abstract

A discretization of the peakons lattice is introduced, belonging to the same hierarchy as the continuous--time system. The construction examplifies the general scheme for integrable discretization of systems on Lie algebras with $r$--matrix Poisson brackets. An initial value problem for the difference equations is solved in terms of a factorization problem in a group. Interpolating Hamiltonian flow is found. A variational (Lagrangian) formulation is also given.

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BibTeXRIS

Yuri B. Suris. 1995-12-01. A discrete time peakons lattice. https://doi.org/10.1016/0375-9601(96)00375-1

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