Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation
Document Type
Article
Publication Date
6-1-2015
Abstract
The classification of the Lie point symmetries of the nonlinear wave equations with dissipation give a generic case and eight special cases. In this article we show that in seven of the eight cases the action of the Lie symmetries can be globalized via induced representations of a family of solvable Lie groups. In one special case, we show that the action of the Lie symmetries can be globalized by using an induced representation of (Formula presented.).
Publication Title
European Journal of Mathematics
Volume
1
Issue
2
First Page
329
Last Page
336
Digital Object Identifier (DOI)
10.1007/s40879-015-0043-7
ISSN
2199675X
E-ISSN
21996768
Citation Information
Franco. (2015). Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation. European Journal of Mathematics, 1(2), 329–336. https://doi.org/10.1007/s40879-015-0043-7