Classical and nonclassical symmetries of the nonlinear equation with dispersion and dissipation
β Scribed by V. V. Gurskii; A. M. Samsonov; F. Schwarz
- Book ID
- 110137114
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 57 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1063-7842
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π SIMILAR VOLUMES
## 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
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