Rational solutions of dressing chains and higher order Painleve equations

2018/11/26 by David Gómez‐Ullate, D. Gomez-Ullate, Y. Grandati +9 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1811.10186

arxiv created 2018/11/26 · openalex publication_date 2018/11/26 · arxiv updated 2018/11/27 · openalex created_date 2018/11/29 · openalex updated_date 2026/07/28

Abstract

We present a new approach to determine the rational solutions of the higher order Painleve equations associated to periodic dressing chain systems. We obtain new sets of solutions, giving determinantal representations indexed by specific Maya diagrams in the odd case or universal characters in the even case.

Cited by

• Lectures on exceptional orthogonal polynomials and rational solutions to Painlevé equations

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