On Two Aspects of the Painlevé Analysis. (12th March 2013)
- Record Type:
- Journal Article
- Title:
- On Two Aspects of the Painlevé Analysis. (12th March 2013)
- Main Title:
- On Two Aspects of the Painlevé Analysis
- Authors:
- Sakovich, Sergei
- Other Names:
- Cahlon Baruch Academic Editor.
- Abstract:
- Abstract : 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.
- Is Part Of:
- International journal of analysis. Volume 2013(2013)
- Journal:
- International journal of analysis
- Issue:
- Volume 2013(2013)
- Issue Display:
- Volume 2013, Issue 2013 (2013)
- Year:
- 2013
- Volume:
- 2013
- Issue:
- 2013
- Issue Sort Value:
- 2013-2013-2013-0000
- Page Start:
- Page End:
- Publication Date:
- 2013-03-12
- Subjects:
- Mathematical analysis -- Periodicals
515.05 - Journal URLs:
- https://www.hindawi.com/journals/ijanal/ ↗
- DOI:
- 10.1155/2013/172813 ↗
- Languages:
- English
- ISSNs:
- 2314-498X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 21724.xml