The solution of two dimensional nonlinear differential equation by the Adomian decomposition method

In this paper the Adomian's decomposition method is used to investigate nonlinear two dimensional wave equation. The analytic solution of the nonlinear wave equation is calculated in the form of a series with easily computable components. The nonhomogenous equation is effectively solved by employing the phenomena of the self-canceling “noise” terms where sum of components vanishes in the limit. Comparing the methodology with some known techniques shows that the present approach is powerful and reliable. Its remarkable accuracy properties are finally demonstrated by an example.