可解的非线性 2 个递推系统显示出有趣的演变

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-07-20 DOI:arxiv-2407.18270

Francesco Calogero

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摘要

本文确定了一类简单但非线性的递推系统，它们涉及 2 美元的因变量 $x_{j}\left(n\right)$，因此可以明确地得到它们的初值问题的解--具有任意初始数据 $x_{j}\left( 0\right) $。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solvable nonlinear systems of 2 recursions displaying interesting evolutions

In this paper a class of simple, but nonlinear, systems of recursions involving $2$ dependent variables $x_{j}\left( n\right) $ is identified, such that the solutions of their initial-values problems -- with arbitrary initial data $x_{j}\left( 0\right) $ -- may be explicitly obtained.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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