scientific article; zbMATH DE number 917188
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Publication:4889585
zbMath0852.34009MaRDI QIDQ4889585
V. V. Tsegel'nik, V. I. Gromak
Publication date: 15 December 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korteweg-de Vries equationBäcklund transformationAiry equationsecond, third, fourth, and fifth Painlevé equationsnonlinear functional relations
KdV equations (Korteweg-de Vries equations) (35Q53) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Related Items (5)
On matrix Painlevé hierarchies ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases ⋮ Auto-Bäcklund transformations for a matrix partial differential equation ⋮ 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
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