Weakly nonlocal Poisson brackets: tools, examples, computations
Mathematical Physics
2022-02-17 v2 Symbolic Computation
math.MP
Exactly Solvable and Integrable Systems
Abstract
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian operators in three different computer algebra systems: Maple, Reduce and Mathematica. This class of Hamiltonian operators encompass almost all the examples coming from the theory of (1+1)-integrable evolutionary PDEs
Keywords
Cite
@article{arxiv.2101.06467,
title = {Weakly nonlocal Poisson brackets: tools, examples, computations},
author = {Matteo Casati and Paolo Lorenzoni and Daniele Valeri and Raffaele Vitolo},
journal= {arXiv preprint arXiv:2101.06467},
year = {2022}
}
Comments
30 pages. Keywords: Poisson bracket, Hamiltonian operator, Schouten bracket, partial differential equations, integrable systems