Characteristic Lie algebras of slow growth and mSG equation

R. D. Murtazina

Ufa State Aviation Technical University

Abstract: Application of characteristic algebra for the description of the higher of symmetry for the modified equation sine-Gordon is considered. In terms forming characteristic algebras the local differential operator transforming higher of symmetry in higher of symmetry of a smaller order is constructed, return to the last is the recurrence operator.

Keywords: characteristic equation, Lie algebra, symmetry, recurrence operator.

UDC: 517.957

Received: 26.08.2009

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