On special solutions to the Ermakov-Painlevé XXV equation

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Differential algebra (12H05) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Linear ordinary differential equations and systems in the complex domain (34M03) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Cites Work

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Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system
A Lie systems approach to the Riccati hierarchy and partial differential equations
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NIST digital library of mathematical functions
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A short note on the Painlevé XXV-Ermakov equation
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Differential equations for singular values of products of Ginibre random matrices
A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions
The Ermakov equation: A commentary
Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE
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On Hybrid Ermakov-Painlevé Systems. Integrable Reduction
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Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation
Fourth Painlevé and Ermakov equations: quantum invariants and new exactly-solvable time-dependent Hamiltonians

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