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Scalar second-order evolution equations possessing an irreducible sl2-valued zero-curvature representation

Michal Marvan

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We find all scalar second-order evolution equations that possess an sl2-valued zero-curvature representation irreducible to a proper subalgebra of sl2. None of these zero-curvature representations depends on a parameter that could serve as the spectral parameter.


PACS

02.30.Ik Integrable systems

02.20.Sv Lie algebras of Lie groups

MSC

35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations

46J30 Subalgebras

Subjects

Mathematical physics

Dates

Issue 44 (8 November 2002)

Received 21 March 2002, in final form 4 September 2002

Published 22 October 2002



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