Schwarzian derivative, Painlevé XXV–Ermakov equation, and Bäcklund transformations

DOI10.1002/mana.202200180arXiv2201.02267MaRDI QIDQ6184270

Galina Filipuk, Alexander V. Chichurin, Federico Zullo, Sandra Carillo

Publication date: 24 January 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02267

zbMATH Keywords

Schwarzian derivativeBäcklund transformationsErmakov equationPainlevé XXV-Ermakov equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Linear ordinary differential equations and systems in the complex domain (34M03) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Cites Work

• An efficient approach for solving the Riccati equation with fractional orders
• Bäcklund transformations and their applications
• Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations
• The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions
• Riccati differential equations
• Darboux transformations in integrable systems. Theory and their applications to geometry
• A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions
• On higher-order Riccati equations as Bäcklund transformations
• Nonlinear boundary value problems in science and engineering
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