On time-dependent symmetries and formal symmetries of evolution equations

Artur G. Sergyeyev (= Arthur G. Sergheyev) (Institute of Mathematics of NAS of Ukraine; Kyiv)

arxiv: solv-int/9902002 · v1 · pith:3DJWOYHGnew · submitted 1999-01-31 · solv-int · math-ph· math.AP· math.MP· nlin.SI

On time-dependent symmetries and formal symmetries of evolution equations

Artur G. Sergyeyev (= Arthur G. Sergheyev) (Institute of Mathematics of NAS of Ukraine , Kyiv) This is my paper

classification solv-int math-phmath.APmath.MPnlin.SI

keywords symmetriesevolutionformalequationsformulaeresultscasecommutators

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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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On time-dependent symmetries and formal symmetries of evolution equations

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