延迟洛特卡-伏特拉方程的拉克斯对和守恒量

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-02-03 DOI:arxiv-2402.02204

Hiroshi Matsuoka, Kenta Nakata, Ken-ichi Maruno

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摘要

本文构建了延迟 Lotka-Volterra 方程及其离散类似方程的 Backlund 变换、Lax 对和无限守恒量。延迟 Lotka-Volterra 方程的守恒量非常复杂，可以用线性运算符的时序乘积来描述。

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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The Lax pairs and conserved quantities of the delay Lotka-Volterra equation

The delay Lotka-Volterra equation is a delay-differential extension of the well known Lotka-Volterra equation, and is known to have N-soliton solutions. In this paper, Backlund transformations, Lax pairs and infinite conserved quantities of the delay Lotka-Volterra equation and its discrete analogue are constructed. The conserved quantities of the delay Lotka-Volterra equation turn out to be complicated and described by using the time-ordered product of linear operators.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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