Stability of the Toda equations related to a perturbed $R_i$ type recurrence relation
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910487218749440 |
|---|---|
| author | Shukla, Vinay Swaminathan, A. |
| author_facet | Shukla, Vinay Swaminathan, A. |
| contents | In this manuscript, a modified $R_I$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of the Toda equations related to a perturbed $R_i$ type recurrence relation Shukla, Vinay Swaminathan, A. Classical Analysis and ODEs Exactly Solvable and Integrable Systems 42C05, 15A24, 37K10 In this manuscript, a modified $R_I$ 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. |
| title | Stability of the Toda equations related to a perturbed $R_i$ type recurrence relation |
| topic | Classical Analysis and ODEs Exactly Solvable and Integrable Systems 42C05, 15A24, 37K10 |
| url | https://arxiv.org/abs/2406.09743 |