Connection formulae for degenerated asymptotic solutions of the fourth Painleve equation
Andrei A. Kapaev (St.Petersburg Department of Steklov Mathematical, Institute)
TL;DR
This paper classifies all degenerated classical and transcendent solutions of the fourth Painleve equation and provides their connection formulae for asymptotic parameters.
Contribution
It offers a comprehensive description of degenerated solutions and their connection formulae for the fourth Painleve equation, filling a gap in the existing literature.
Findings
Complete classification of degenerated solutions.
Explicit connection formulae for asymptotic parameters.
Enhanced understanding of asymptotic behaviors.
Abstract
All possible 1-parametric classical and transcendent degenerated solutions of the fourth Painleve equation with the corresponding connection formulae of the asymptotic parameters are described.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Mathematical Physics Problems