AN AUGMENTATION OF THE PHASE SPACE OF THE SYSTEM OF TYPE $ A_4 ^(1) $

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概要

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• We investigate the differential system with affine Weyl group symmetry of type $ A_{4} ^(1) $ and construct a space which parametrizes all meromorphic solutions of it. To demonstrate our method based on singularity analysis and affine Weyl group symmetry, we first study the system of type $ A_{2} ^(1) $, which is the equivalent of the fourth Painleve equation, and obtain the space which augments the original phase space of the system by adding spaces of codimension 1. For the system of type $ A_{4} ^(1) $, codimension 2 spaces should be added to the phase space of the system in addition to codimension 1 spaces.

• Faculty of Mathematics, Kyushu Universityの論文

著者

• TAHARA Nobuhiko

  Graduate School of Science and Technology Kobe University

関連論文

• Hierarchy of Backlund transformation groups of the Painleve systems
• AN AUGMENTATION OF THE PHASE SPACE OF THE SYSTEM OF TYPE $ A_4 ^(1) $

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