Title
Painlevȳ property and group symmetries of the generalized korteweg-de vries equation
Abstract
In this paper we consider some of the analytic properties of the generalized Korteweg-de Vries equation ut+ upux+ uxxx= 0. We study the Lie group symmetries of the equation and show that for p< 2 there is a three parameter group and if p= 1 or 2 the group has four parameters. The Painlevȳ property is shown to be not satisfied when p< 2. The variational symmetries are also considered and are shown to lead to the only three known conservation laws for general p. © 1994 IOP Publishing Ltd.
Publication Date
3-1-1994
Publication Title
Physica Scripta
Volume
49
Issue
3
Number of Pages
261-263
Document Type
Article
Identifier
scopus
Personal Identifier
scopus
DOI Link
https://doi.org/10.1088/0031-8949/49/3/002
Copyright Status
Unknown
Socpus ID
84957333037 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84957333037
STARS Citation
Rollins, D. K. and Shivamoggi, B. K., "Painlevȳ property and group symmetries of the generalized korteweg-de vries equation" (1994). Scopus Export 1990s. 172.
https://stars.library.ucf.edu/scopus1990/172