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New Approach to Solve a Nonlinear Wave Equation Dogan Kaya Abstract.We use the Adomian decomposition method
to study a nonlinear wave equation. The decomposition
method plays an important role in a wide class of differential
and integral equations, stochastic and deterministic problems
(linear or nonlinear) in Mathematics and Physics. The
method provides solution without linearization, perturbation,
or unjustified assumptions. An analytic solution of a
nonlinear wave equation in the form of a series with easily
computable components using the decomposition method will
be determined. The nonhomogeneous equation is effectively
solved by employing the phenomena of the self-canceling
“noise” terms. The phenomena is useful in demonstrating
a fast convergence of the exact solution.