A discrete time peakons lattice

Preprint

1 December 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.solv-int/9512001

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.

Keywords

DISCRETIZATION OF SYSTEMS
INITIAL VALUE PROBLEM
DIFFERENCE EQUATIONS
PEAKONS LATTICE
INTERPOLATING
DISCRETE TIME
TIME PEAKONS
ALGEBRAS

All Related Versions

Version 1, 1995-12-01, ArXiv
Published version: Physics Letters A, 217 (6), 321.

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