ENGLISH

Painleve Differential Equations in the Complex Plane

By Ilpo Laine , V. I. Gromak , Shun Shimomura

Book information

Publisher
Walter de Gruyter
Year
2002
ISBN
9783110173796, 3-11-017379-4
Open Library ID
OL9017422M
Language
english
Format
PDF
Filesize
2 MB (1660846 bytes)
Series
De Gruyter studies in mathematics 28
Pages
314\314
Library
mexmat
Time added
2009-07-20 03:45:11

Description

Focusing on five of the 50 Painlevé equations (two of which are modified to make the meromorphic like the others), Gromak (mathematics and mechanics, Belarussian State U., Belarus), Laine (mathematics, U. of Joensuu, Finland), and Shimomura (mathematics, Keio U., Japan) investigate their growth and value distributions. The core of the book is devoted to the integration of the equations in terms of elementary functions or some classical transcendental functions such as the Airy, Bessel, or hypergeometric functions, e.g. the Bläcklund transformations. A final chapter describes some applications of the equations relevant to such areas as hydrodynamics, plasma physics, nonlinear optics, and solid state physics"

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