International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 11, Pages 675-680
doi:10.1155/S0161171201010249
Abstract
We consider a coupled system of viscous Burgers' equations with
appropriate initial values using the decomposition method. In this
method, the solution is calculated in the form of a convergent power
series with easily computable components. The method does not need
linearization, weak nonlinearity assumptions or perturbation theory.
The decomposition series solution of the problem is quickly obtained by
observing the existence of the self-canceling “noise” terms where
the sum of components vanishes in the limit.