Weakly nonlocal Poisson brackets: Tools, examples, computations
Weakly nonlocal Poisson brackets: Tools, examples, computations
复制标题
弱非局部泊松括号：工具、示例、计算
DOI：
10.1016/j.cpc.2022.108284
复制
发表时间：
2022
影响因子：
6.3
通讯作者：
Casati M
中科院分区：
文献类型：
--
作者：
Casati M
在Maple、Reduce和Mathematica三种不同的计算机代数系统中实现了弱非局部哈密顿算子的Schouten括号的计算算法。这类哈密顿算子包含了几乎所有来自(1+1)-可积演化偏微分方程理论的例子。程序标题：Jacobi(Maple),CDEmodulecde_weaklynl。red（Reduce，官方发布），nlPVA(Mathematica)CPC库程序文件链接：https://doi.org/10.17632/synmrvr74g.1Developer's存储库链接：https://gdeq.org/Weakly_nonlocal_Poisson_bracketsLicensing规定：BSD 2-clause编程语言：Maple， Reduce (Rlisp)， mathematicas2补充材料：三种语言的示例程序文件(Maple, Reduce，问题的性质：计算弱非局部泊松括号的Jacobi单位解决方法：将Jacobi单位带入规范形式。附加的注释包括限制和不寻常的功能：使用2020 Maple或Mathematica版本，或2021 Reduce快照
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 summaryProgram Title:Jacobi(Maple),CDEmodulecde_weaklynl.red(Reduce, official distribution),nlPVA(Mathematica)CPC Library link to program files:https://doi.org/10.17632/synmrvr74g.1Developer's repository link:https://gdeq.org/Weakly_nonlocal_Poisson_bracketsLicensing provisions:BSD 2-clauseProgramming language:Maple, Reduce (Rlisp), MathematicaSupplementary material:Example program files in the three languages (Maple, Reduce, Mathematica)Nature of problem:Calculating the Jacobi identity for weakly nonlocal Poisson bracketsSolution method:Bringing the Jacobi identity to a canonical formAdditional comments including restrictions and unusual features:Use a 2020 Maple or Mathematica version, or a 2021 Reduce snapshot