Nail H. Ibragimov
Published 2011-11-13Version 1
Chapter 4 of my book [1] is dedicated to Lie-B\"acklund group analysis of various types of differential equations. The Russian edition of this book had an Addendum (pages 262-266) containing a summary of new results (obtained by the end of 1982) on classification of evolution equations of the second and third order possessing Lie-B\"acklund symmetries. The \textit{Addendum} was not included in the English translation of the book by technical reasons. I present here the missing translation. In order to make the text self-contained, I have added in the translation the equations from the main body of the book used in the Addendum.
On isospectral deformations of an inhomogeneous string
Regularity for evolution equations with non-autonomous perturbations in Banach spaces
Towards a gauge theory for evolution equations on vector-valued spaces
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