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KIAM Preprint № 61, Moscow, 2012
Authors: Bruno A. D., Parusnikova A.V.
Expansions and asymptotic forms of solutions to the fifth Painleve equation near infinity
Abstract:
We consider the fifth Painlev´e equation in a neighborhood of infinity. By means of two-dimensional power geometry we have calculated all exponential expansions of its solutions. By means of three-dimensional power geometry we have calculated some power-elliptic and power-periodic asymptotic forms of its solutions.
Keywords:
Painleve equations, asymptotic expansions, asymptotic forms
Publication language: russian,  pages: 32
Research direction:
Theoretical and applied problems of mechanics
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About authors:
  • Bruno Alexander Dmitrievich,  orcid.org/0000-0002-7465-1258KIAM RAS
  • Parusnikova A.V.,  ,  Московский институт электроники и математики Научно-исследовательский университет «Высшая школа экономики»