Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems

DOI10.1063/1.2217647zbMath1112.37069OpenAlexW2086889560MaRDI QIDQ3441968

Nalini Joshi, Andrew Pickering, Pilar Ruiz Gordoa

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/149ad96b724ac00e64007db077684185cc6c79a4

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)

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Cites Work

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• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
• Monodromy- and spectrum-preserving deformations. I
• A new technique in nonlinear singularity analysis
• On a generalized \(2+1\) dispersive water wave hierarchy
• Integration via modification: a method of reduction of order for systems of ordinary differential equations
• Mathematics of dispersive water waves
• Bäcklund transformations for fourth Painlevé hierarchies
• Painlevé hierarchies and the Painlevé test
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Caustics in 1+1 integrable systems
• On a new non-isospectral variant of the Boussinesq hierarchy
• Nonisospectral scattering problems: A key to integrable hierarchies
• Rational Solutions of Painlevé Equations

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