Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation

DOI10.1016/j.geomphys.2012.01.008zbMath1252.34103OpenAlexW2121491396MaRDI QIDQ423686

J. Herrera, H. S. Yoon

Publication date: 4 June 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.01.008

zbMATH Keywords

solitonsDarboux transformationLax equationIntegrable systemsquasideterminantsnoncommutative second Painlevé equation

Mathematics Subject Classification ID

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

Related Items (5)

On matrix Painlevé-4 equations ⋮ Binary Darboux transformation for the Gerdjikov-Ivanov equation ⋮ Different linearizations of non-abelian second Painlevé systems and related monodromy surfaces ⋮ Quasideterminant solutions of NC Painlevé II equation with the Toda solution at \(n = 1\) as a seed solution in its Darboux transformation ⋮ Matrix Painlevé II equations

Cites Work

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• On a direct approach to quasideterminant solutions of a noncommutative KP equation
• Darboux transformation of the generalized coupled dispersionless integrable system
• Painlevé Tests, Singularity Structure and Integrability
• Existence and uniqueness of tri-tronqu e solutions of the second Painlev  hierarchy
• Noncommutative Burgers equation

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