Exact solutions of semilinear radial wave equations in n dimensions
| dc.creator | Anco, Stephen C. | |
| dc.creator | Liu, Sheng | |
| dc.date | 2003-09-19 | |
| dc.date | 2005-04-04 | |
| dc.date.accessioned | 2026-07-07T04:30:34Z | |
| dc.date.available | 2026-07-07T04:30:34Z | |
| dc.description | Exact solutions are derived for an n-dimensional radial wave equation with a general power nonlinearity. The method, which is applicable more generally to other nonlinear PDEs, involves an ansatz technique to solve a first-order PDE system of group-invariant variables given by group foliations of the wave equation, using the one-dimensional admitted point symmetry groups. (These groups comprise scalings and time translations, admitted for any nonlinearity power, in addition to space-time inversions admitted for a particular conformal nonlinearity power). This is shown to yield not only group-invariant solutions as derived by standard symmetry reduction, but also other exact solutions of a more general form. In particular, solutions with interesting analytical behavior connected with blow ups as well as static monopoles are obtained. | |
| dc.description | 29 pages, 1 figure. Published version with minor corrections | |
| dc.identifier | https://arxiv.org/abs/math-ph/0309049 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0309049 | |
| dc.identifier | J. Math. Anal. Appl. 297 (2004) 317-342 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57508 | |
| dc.subject | Mathematical Physics | |
| dc.title | Exact solutions of semilinear radial wave equations in n dimensions | |
| dc.type | text |