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In this paper a theoretical model has developed for the dispersion problem in  porous media in which the flow is one dimensional and the average flow is  unsteady. The Solution of the dispersion problem is presented by means of a  new approach to Bäcklund transformations of nonlinear partial differential  equations

theoretical and applied mechanics/theoretical and applied mechanics

A new approach to Bäcklund transformations for longitudinal dispersion of miscible fluid flow through porous media in oil reservoir during secondary recovery process