Linearization and Painlevé property of Liouville and Cheng equations

DOI10.1063/1.526997zbMath0629.35106OpenAlexW2057191408MaRDI QIDQ3766221

K. M. Tamizhmani, Muthusamy Lakshmanan

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.526997

zbMATH Keywords

Painlevé propertymovable singularitiesLiouville equationCheng equation

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

On the generalized forms of exact solutions to the Liouville equation via direct approach ⋮ General solutions to the 2D Liouville equation ⋮ The Painlevé property and coordinate transformations ⋮ Cheng equation: a revisit through symmetry analysis ⋮ Analytical properties of solutions to a system of nonlinear partial differential equations ⋮ Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation

Cites Work

• Lie transformations, nonlinear evolution equations, and Painlevé forms
• The sine-Gordon equations: Complete and partial integrability
• An Exactly Solvable Nonlinear Partial Differential Equation with Solitary-Wave Solutions
• The Painlevé property for partial differential equations
• The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type
• On the Painleve property of the SO(2, 1) invariant non-linear σ model
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I