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Scalar second order evolution equations possessing an irreducible sl$_2$-valued zero curvature representation

Michal Marvan
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Abstract

We find all scalar second order evolution equations possessing an sl$_2$-valued zero curvature representation that is not reducible to a proper subalgebra of sl$_2$. None of these zero-curvature representations admits a parameter.

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Michal Marvan. 2002-03-21. Scalar second order evolution equations possessing an irreducible sl$_2$-valued zero curvature representation. https://doi.org/10.1088/0305-4470%2F35%2F44%2F312

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