Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation

DOI10.1016/j.physleta.2013.03.032zbMath1290.37031OpenAlexW1993467102MaRDI QIDQ2015608

Zuo-nong Zhu, Pilar Ruiz Gordoa, Andrew Pickering

Publication date: 23 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2013.03.032

zbMATH Keywords

Bäcklund transformationsmatrix Painlevé equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Symmetries, invariants of ordinary differential equations (34C14) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

On matrix Painlevé hierarchies ⋮ Peakon, rational function and periodic solutions for Tzitzeica-Dodd-Bullough type equations ⋮ New exact solutions to the high dispersive cubic-quintic nonlinear Schrödinger equation ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ 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 ⋮ Auto-Bäcklund transformations for a matrix partial differential equation ⋮ Painlevé type reductions for the non-Abelian Volterra lattices ^*

Cites Work

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• Auto-Bäcklund transformations and integrability of ordinary and partial differential equations
• Truncation-type methods and Bäcklund transformations for ordinary differential equations: the third and fifth Painlevé equations

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