On asymptotic cones of surfaces with constant curvature and the third Painlevé equation

DOI10.1007/s002290050117zbMath0965.53010OpenAlexW2014172430MaRDI QIDQ1275648

Alexander V. Kitaev, Alexander Ivanovich Bobenko

Publication date: 15 July 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050117

zbMATH Keywords

asymptotic behavioursine-Gordon equationconstant Gauss curvatureAmsler surfaceSmyth surfacethird Painleve equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (3)

Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces ⋮ Initial value problems of the sine-Gordon equation and geometric solutions ⋮ Self-associated three-dimensional cones

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