Parametric Painlevé equations

DOI10.1007/S10958-013-1375-9zbMath1285.34078OpenAlexW2037379840MaRDI QIDQ378710

Alexander V. Kitaev

Publication date: 12 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1375-9

zbMATH Keywords

Lax pairPainlevé equationsisomonodromy solutionsPainlevé type functionsshort pulse equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Monodromy- and spectrum-preserving deformations. I
• Propagation of ultra-short optical pulses in cubic nonlinear media
• On transformations of the Rabelo equations
• New Integrable Nonlinear Evolution Equations
• On the linearization of the Painlevé III–VI equations and reductions of the three-wave resonant system
• The Short Pulse Equation Is Integrable
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