Abstract
A bilocal approach to the construction of the general integrable equations and their general Backlund transformations connected with the one- and two-dimensional spectral problems is discussed. Three different, but equivalent methods of calculation are considered. The principal role of the bilocal adjoint representation of the spectral problem in such constructions, in particular in the calculation of the bilocal 'recursion' operator, is emphasised. Multi-dimensional spectral problems are discussed briefly.
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