Towards classification of quasi-local symmetries of evolution equations

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We develop efficient group-theoretical approach to the problem of classification of evolution equations that admit non-local transformation groups (quasi-local symmetries), i.e., groups involving integrals of the dependent variable. We classify realizations of two- and three-dimensional Lie algebras leading to equations admitting quasi-local symmetries. Finally, we generalize the approach in question for the case of an arbitrary system of evolution equations with two independent variables.
21 pages, LaTeX2e

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Exactly Solvable and Integrable Systems, Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/214450

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.0578
 http://arxiv.org/abs/0901.0578

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arXiv