On time-dependent symmetries and formal symmetries of evolution equations

Physics – Mathematical Physics

Scientific paper

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7 pages, Latex, no figures

Scientific paper

We present the explicit formulae, describing the structure of symmetries and
formal symmetries of any scalar (1+1)-dimensional evolution equation. Using
these results, the formulae for the leading terms of commutators of two
symmetries and two formal symmetries are found. The generalization of these
results to the case of system of evolution equations is also discussed.

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