Matrix Painlevé II equations

DOI10.1134/S0040577921050020zbMath1471.34168arXiv2012.05639OpenAlexW3175838339MaRDI QIDQ2036371

Vsevolod Eduardovich Adler, Vladimir Sokolov

Publication date: 29 June 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05639

zbMATH Keywords

Lax representationgroup-invariant reductionsmatrix Painlevé equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (9)

Non-Abelian Toda lattice and analogs of Painlevé III equation ⋮ On matrix Painlevé-4 equations ⋮ Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Different linearizations of non-abelian second Painlevé systems and related monodromy surfaces ⋮ Hamiltonian reductions in matrix Painlevé systems ⋮ On classification of non-abelian Painlevé type systems ⋮ On Bäcklund transformations for some second-order nonlinear differential equations ⋮ Differential substitutions for non-Abelian equations of KdV type ⋮ A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions*

Cites Work

• Unnamed Item
• On matrix Painlevé hierarchies
• Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation
• Non-abelian evolution systems with conservation laws
• Integrable evolution equations on associative algebras
• On the Painlevé test for non-abelian equations
• Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equation
• Matrix generalisation of the modified Korteweg-de Vries equation

This page was built for publication: Matrix Painlevé II equations