期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 274, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.cpc.2022.108284
关键词
Poisson bracket; Hamiltonian operator; Schouten bracket; Partial differential equations; Integrable systems
资金
- Dept. of Mathematics and Physics E. De Giorgi of the Universita del Salento
- Istituto Naz. di Fisica Nucleare IS-CSN4 Mathematical Methods of Nonlinear Physics
- GNFM of Istituto Nazionale di Alta Matematica
- MIUR - FFABR funds
- H2020-MSCA-RISE-2017 Project [778010]
We have implemented an algorithm for computing the Schouten bracket of weakly nonlocal Hamiltonian operators in three different computer algebra systems. This algorithm can handle almost all examples coming from the theory of (1+1)-integrable evolutionary PDEs.
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. Program summary Program Title: Jacobi(Maple), CDEmodulecde_weaklynl.red(Reduce, official distribution), nlPVA(Mathematica) CPC Library link to program files: https://doi.org/10.17632/synmrvr74g.1 Developer's repository link: https://gdeq.org/Weakly_nonlocal_Poisson_brackets Licensing provisions: BSD 2-clause Programming language: Maple, Reduce (Rlisp), Mathematica Supplementary material: Example program files in the three languages (Maple, Reduce, Mathematica) Nature of problem: Calculating the Jacobi identity for weakly nonlocal Poisson brackets Solution method: Bringing the Jacobi identity to a canonical form Additional comments including restrictions and unusual features: Use a 2020 Maple or Mathematica version, or a 2021 Reduce snapshot (C) 2022 Elsevier B.V. All rights reserved.
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