Doğan Kaya, "Explicit solutions of generalized nonlinear Boussinesq equations", Journal of Applied Mathematics, vol. 1, Article ID 647692, 9 pages, 2001. https://doi.org/10.1155/S1110757X01000067
Explicit solutions of generalized nonlinear Boussinesq equations
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.
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