English

On matrix Painlev\'e-4 equations. Part 2: Isomonodromic Lax pairs

Exactly Solvable and Integrable Systems 2022-12-06 v1 Mathematical Physics math.MP

Abstract

For all non-equivalent matrix systems of Painlev\'e-4 type found by authors in arXiv:2107.11680, isomonodromic Lax pairs are presented. Limiting transitions from these systems to matrix Painlev\'e-2 equations are found.

Keywords

Cite

@article{arxiv.2110.12159,
  title  = {On matrix Painlev\'e-4 equations. Part 2: Isomonodromic Lax pairs},
  author = {Irina Bobrova and Vladimir Sokolov},
  journal= {arXiv preprint arXiv:2110.12159},
  year   = {2022}
}