Time-dependent exact solutions of the nonlinear Kompaneets equation
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Full text: | |
| Author(s): | Nail H. Ibragimov |
| Title: | Time-dependent exact solutions of the nonlinear Kompaneets equation |
| Journal: | JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL |
| Year: | 2010 |
| Volume: | 43 |
| Issue: | 50 |
| Pagination: | 502001 (7pp) |
| ISSN: | 1751-8113 |
| Publisher: | IOP Publishing Ltd |
| URI/DOI: | 10.1088/1751-8113/43/50/502001 |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. of Mathematics & Natural Sciences (Sektionen för ingenjörsvetenskap - Avd.för matematik och naturvetenskap) School of Engineering S-371 79 Karlskrona +46 455 38 50 00 http://www.bth.se/ing/ |
| Authors e-mail: | nib@bth.se |
| Language: | English |
| Abstract: | Time-dependent exact solutions of the Kompaneets photon diffusion equation are obtained for several approximations of this equation. One of the approximations describes the case when the induced scattering is dominant. In this case, the Kompaneets equation has an additional symmetry which is used for constructing some exact solutions as group invariant solutions. |
| Subject: | Mathematics\Analysis Mathematics\General |
| Keywords: | Kompaneets photon diffusion equation, symmetries, group invariant solution, exact solution |
| Note: | Online at stacks.iop.org/JPhysA/43/502001 |
