Affordable Access

Access to the full text

On two aspects of the Painleve analysis

Authors
  • Sakovich, Sergei
Type
Published Article
Publication Date
Mar 27, 2013
Submission Date
Sep 26, 1999
Identifiers
DOI: 10.1155/2013/172813
arXiv ID: solv-int/9909027
Source
arXiv
License
Yellow
External links

Abstract

We use the Calogero equation to illustrate the following two aspects of the Painleve analysis of nonlinear PDEs. First, if a nonlinear equation passes the Painleve test for integrability, the singular expansions of its solutions around characteristic hypersurfaces can be neither single-valued functions of independent variables nor single-valued functionals of data. Second, if the truncation of singular expansions of solutions is consistent, the truncation not necessarily leads to the simplest, or elementary, auto-Backlund transformation related to the Lax pair.

Report this publication

Statistics

Seen <100 times