On One‐Parameter Families of Painlevé III

DOI10.1111/1467-9590.00096zbMath1020.34011OpenAlexW2058122793MaRDI QIDQ4784649

Elizabeth L. Mansfield, Helen N. Webster

Publication date: 11 December 2002

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

Full work available at URL: https://doi.org/10.1111/1467-9590.00096

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Inverse problems involving ordinary differential equations (34A55)

Related Items (9)

Painlevé equations -- nonlinear special functions. ⋮ Classical solutions of the degenerate fifth Painlevé equation ⋮ The fourth Painlevé equation and associated special polynomials ⋮ A constructive proof for the Umemura polynomials of the third Painlevé equation ⋮ On the eigenvalues of the Chandrasekhar–Page angular equation ⋮ Hierarchies of exact solutions for the discrete third Painlevé equation ⋮ New transformations for Painlevé’s third transcendent ⋮ Proceedings of the 12th international workshop on nonlinear evolution equations and dynamical systems (NEEDS '98), Leeds, UK, June 21--28, 1998. Transl. from the Russian ⋮ A simplified version of higher covariant derivative regularization

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