An explicit solution of coupled viscous Burgers′ equation by the decomposition method

We consider a coupled system of viscous Burgers' equations withappropriate initial values using the decomposition method. In thismethod, the solution is calculated in the form of a convergent powerseries with easily computable components. The method does not needlinearization, weak nonlinearity assumptions or perturbation theory.The decomposition series solution of the problem is quickly obtained byobserving the existence of the self-canceling noise terms wherethe sum of components vanishes in the limit