Published December 17, 2010
| Version v1
Journal article
Time-dependent exact solutions of the nonlinear Kompaneets equation
Creators
- 1. Department of Mathematics and Science, Blekinge Institute of Technology, 371 79 Karlskrona (Sweden)
Description
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. (fast track communication)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/43/50/502001Additional details
Identifiers
- DOI
- 10.1088/1751-8113/43/50/502001;
- PII
- S1751-8113(10)70094-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 43
- Journal Issue
- 50
- Journal Page Range
- [7 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42042099
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- APPROXIMATIONS; DIFFUSION EQUATIONS; EXACT SOLUTIONS; NONLINEAR PROBLEMS; PHOTONS; SYMMETRY; TIME DEPENDENCE
- Descriptors DEC
- BOSONS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; MASSLESS PARTICLES; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS