Doğan Kaya, "An explicit solution of coupled viscous Burgers' equation by the decomposition method", International Journal of Mathematics and Mathematical Sciences, vol. 27, Article ID 802356, 6 pages, 2001. https://doi.org/10.1155/S0161171201010249
An explicit solution of coupled viscous Burgers' equation by the decomposition method
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.
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