Existence and uniqueness of tri-tronqu e solutions of the second Painlev hierarchy

DOI10.1088/0951-7715/16/2/304zbMath1064.33020arXivmath/0212117OpenAlexW2050349771MaRDI QIDQ4415727

Nalini Joshi, Marta Mazzocco

Publication date: 6 August 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212117

zbMATH Keywords

asymptotic expansionsecond Painlevé hierarchytri-tronquée solution

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (15)

Open problems for Painlevé equations ⋮ Quantum Painlev\'e II solution and Approximated analytic solution of the Yukawa Potential ⋮ A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation ⋮ Hierarchies of Difference Equations and Bäcklund Transformations ⋮ Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces ⋮ Lax pair representation and Darboux transformation of noncommutative Painlevé's second equation ⋮ Quasideterminant solutions of NC Painlevé II equation with the Toda solution at \(n = 1\) as a seed solution in its Darboux transformation ⋮ Stokes phenomena in discrete Painlevé II ⋮ Lax representation and Darboux solutions of the classical Painlevé second equation ⋮ Truncated solutions of Painlevé equation \({\mathrm P}_{\mathrm V}\) ⋮ On the increasing tritronquée solutions of the Painlevé-II equation ⋮ On tronquée solutions of the first Painlevé hierarchy ⋮ Tronquée solutions of the third and fourth Painlevé equations ⋮ Existence and uniqueness of Tronquée solutions of the fourth-order Jimbo-Miwa second Painlevé equation ⋮ Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation

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