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The survey provides classification results for integrable one-field evolutionequations of orders 2, 3 and 5 with the constant separant. The classificationis based on necessary integrability conditions following from the existence ofthe formal recursion operator for integrable equations. Recurrent formulas forthe whole infinite sequence of necessary conditions are presented for the firsttime. The most of the classification statements can be found in papers by S.I.Svinilupov and V.V. Sokolov but the proofs have never been published before.The result concerning the fifth order equations is stronger than obtainedbefore.

Integrable evolution equations with constant separant