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We find all scalar second order evolution equations possessing ansl$_2$-valued zero curvature representation that is not reducible to a propersubalgebra of sl$_2$. None of these zero-curvature representations admits aparameter.Comment: 10 pages, requires nath.st

Scalar second-order evolution equations possessing an irreduciblesl2-valued zero-curvature representation

Scalar second-order evolution equations possessing an irreduciblesl₂-valued zero-curvature representation