Stability of the Toda equations related to a perturbed $R_i$ type recurrence relation
Classical Analysis and ODEs
2024-06-17 v1 Exactly Solvable and Integrable Systems
Abstract
In this manuscript, a modified type recurrence relation is considered whose recurrence coefficients are perturbed by addition or multiplication of a constant. The perturbed system of recurrence coefficients is represented by Toda lattice equations, which are derived. These equations are then represented in a matrix form. With the help of this matrix representation, a known Lax pair is recovered. Inferences about the stability of resulting perturbed system of Toda equations are drawn based on numerical experiments.
Cite
@article{arxiv.2406.09743,
title = {Stability of the Toda equations related to a perturbed $R_i$ type recurrence relation},
author = {Vinay Shukla and A. Swaminathan},
journal= {arXiv preprint arXiv:2406.09743},
year = {2024}
}
Comments
15 pages, 19 figures