Explicit solutions of generalized nonlinear Boussinesq equations

Abstract

By considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The decomposition series analytic solution of the problem is quickly obtained by observing the existence of the self‐canceling “noise” terms where sum of components vanishes in the limit.