Multi-component Painlev\'{e} ODE's and related non-autonomous KdV stationary hierarchies
Exactly Solvable and Integrable Systems
2023-02-17 v2
Abstract
First, starting from two hierarchies of autonomous St\"{a}ckel ODE's, we reconstruct the hierarchy of KdV stationary systems. Next, we deform considered autonomous St\"{a}ckel systems to non-autonomous Painlev\'{e} hierarchies of ODE's. Finally, we reconstruct the related non-autonomous KdV stationary hierarchies from respective Painlev\'{e} systems.
Keywords
Cite
@article{arxiv.2209.03018,
title = {Multi-component Painlev\'{e} ODE's and related non-autonomous KdV stationary hierarchies},
author = {M. Błaszak},
journal= {arXiv preprint arXiv:2209.03018},
year = {2023}
}
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24 pages