与摄动\(R_I\)型递推关系相关的Toda系统的稳定性

IF 2.1 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2025-09-02 DOI:10.1007/s12043-025-02988-3

Vinay Shukla, A Swaminathan

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引用次数: 0

摘要

本文考虑了一种改进的\(R_I\)型递归关系，其递归系数被常数的加法或乘法所扰动。利用递推系数的摄动系统，导出了摄动扩展相对论Toda方程。然后用矩阵形式表示这些方程。这种矩阵表示有助于恢复文献中已经研究过的Lax对。通过数值实验得出了Toda方程扰动系统稳定性的推论。

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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Stability of the Toda system related to a perturbed \(R_I\)-type recurrence relation

In this manuscript, a modified \(R_I\)-type recurrence relation is considered whose recurrence coefficients are perturbed by the addition or multiplication of a constant. Using the perturbed system of recurrence coefficients, perturbed extended relativistic Toda equations are derived. These equations are then represented in a matrix form. This matrix representation helps recover a Lax pair that has already been studied in the literature. Inferences about the stability of the resulting perturbed system of the Toda equations are drawn based on numerical experiments.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.