Bäcklund transformations for a matrix second Painlevé equation

DOI10.1016/j.physleta.2010.06.034zbMath1238.34155OpenAlexW2026005375MaRDI QIDQ420400

Andrew Pickering, Zuo-nong Zhu, Pilar Ruiz Gordoa

Publication date: 22 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.06.034

zbMATH Keywords

Bäcklund transformationsmatrix Painlevé equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (11)

On matrix Painlevé hierarchies ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ On matrix Painlevé-4 equations ⋮ Fractional complex transforms for fractional differential equations ⋮ Complex transforms for systems of fractional differential equations ⋮ Integrability properties of a generalized reduction of the KdV6 equation ⋮ On matrix fourth Painlevé hierarchies ⋮ The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases ⋮ On an extended second Painlevé hierarchy ⋮ Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation ⋮ Auto-Bäcklund transformations for a matrix partial differential equation

Cites Work

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• Integrable evolution equations on associative algebras
• On the Painlevé test for non-abelian equations
• Bäcklund transformations for a discrete second Painlevé hierarchy
• Rational solutions for Schwarzian integrable hierarchies

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