The Painlevé property and coordinate transformations

DOI10.1007/BF02327866zbMath0758.35066OpenAlexW2025619275MaRDI QIDQ1180753

S. Singh

Publication date: 27 June 1992

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02327866

zbMATH Keywords

Painlevé propertysolitonscoordinate transformationsauto- Bäcklund transformationshigher order prolongations

Mathematics Subject Classification ID

Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Cites Work

• The sine-Gordon equations: Complete and partial integrability
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type
• Linearization and Painlevé property of Liouville and Cheng equations

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