## Abstract We apply the Lieβgroup formalism and the nonclassical method due to Bluman and Cole to deduce symmetries of the generalized KuramotoβSivashinsky equation with dispersive effects. We make a full analysis of the symmetry reductions and we prove that the nonclassical method applied to the
Classical and Nonclassical Symmetries for the Helmholtz Equation
β Scribed by M.C. Nucci; W.F. Ames
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 201 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0022-247X
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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
The paper deals with the screen boundary value problem for vector Helmholtz equation in the three-dimensional space. Using the method of boundary integral equations and the theory of elliptic pseudodifferential operators on manifolds with boundary we prove uniqueness and existence theorems in Bessel