Potential nonclassical symmetries and solutions of fast diffusion equation
β Scribed by Roman O. Popovych; Olena O. Vaneeva; Nataliya M. Ivanova
- Book ID
- 108240722
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 204 KB
- Volume
- 362
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
## Abstract In this paper, we consider a class of generalized diffusion equations which are of great interest in mathematical physics. For some of these equations that model fast diffusion, nonclassical and nonclassical potential symmetries are derived. These symmetries allow us to increase the num
We present the nonclassical symmetry of a nonlinear diffusion equation whose a nonlinear term is an arbitrary function. Generally, there is no guarantee that we can always determine the nonclassical symmetries admitted by the given equation because of the nonlinearity included in the determining equ