The Coalescence Limit of the Second Painlevé Equation

DOI10.1002/sapm19969711zbMath0868.34003arXivsolv-int/9611001OpenAlexW2028055506MaRDI QIDQ4715249

Nalini Joshi, Rod Halburd

Publication date: 27 August 1997

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9611001

zbMATH Keywords

coalescencesecond Painlevé equationpolesfirst Painlevé equationdegeneration process

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other special functions (33E99)

Cites Work

• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability
• A Direct Proof that Solutions of the Six Painlevé Equations Have No Movable Singularities Except Poles
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