Abstract
We extend the usual procedure for constructing hierarchies of integrable equations corresponding to nonisospectral deformations of a spectral problem to the case when the spectral parameter depends also on x. As an example of application we consider the case of the Schrödinger spectral problem for which we get two possible hierarchies of equations, one corresponding to λ= x+ z( t), which contains as a particular case the cylindrical Korteweg-de Vries equation, and a second one corresponding to λ= 2 x 2+z(t) .
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