An approach to solutions of coupled semilinear partial differential equations with applications

In this work, an approach for finding the solution of coupled semi-linear d iffusion equations for initial value problems is presented. The formal exac t solution is found and the Picard iteration is constructed. It is shown th at the constructed sequence of solutions converges uniformly for some class es of initial value problems. The problem of dispersion of an oxygen demand ing pollutant released into a uniform flow is studied. Copyright (C) 2000 J ohn Wiley & Sons, Ltd.