可积系统
可分离空间
数学
递归(计算机科学)
松驰对
歧管(流体力学)
操作员(生物学)
铅笔(光学)
集合(抽象数据类型)
域代数上的
纯数学
数学分析
计算机科学
物理
算法
量子力学
机械工程
生物化学
化学
抑制因子
转录因子
工程类
基因
程序设计语言
标识
DOI:10.1016/j.physd.2023.133850
摘要
The theory of integrable systems of Classical Mechanics has been deeply affected, in the second half of the last century, by the discovery of the integrability of the Korteweg–de Vries equation. New ideas appeared at that time (such as, for instance, the concepts of Lax and bihamiltonian representations, and the notions of Poisson manifold, Poisson pencil, and recursion operator) which have changed our way of seeing the geometry of integrable systems. They also changed our way of seeing the geometry of separable systems. The paper is an attempt to explain why and in what form the idea of recursion operator leads to reshape the definition of separable system, and to discover a new set of separability conditions called “Kowalevski separability conditions”.
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