On Two Aspects of the Painlevé Analysis
Author
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We use the Calogero equation to illustrate the following two aspects of the Painlevé analysis of nonlinear PDEs.
First, if a nonlinear equation passes the Painlevé 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-Bäcklund transformation related to the Lax pair.
American Psychological Association (APA)
Sakovich, Sergei. 2013. On Two Aspects of the Painlevé Analysis. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-451688
Modern Language Association (MLA)
Sakovich, Sergei. On Two Aspects of the Painlevé Analysis. International Journal of Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-451688
American Medical Association (AMA)
Sakovich, Sergei. On Two Aspects of the Painlevé Analysis. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-451688
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451688