Towards classification of quasi-local symmetries of evolution equations

Details Towards classification of quasi-local symmetries of evolution equations Towards classification of quasi-local symmetries of evolution equations

2009-01-05

arxiv.org/abs/0901.0578v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages, LaTeX2e

Scientific paper

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.

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