Journal of Applied Mathematics
Volume 1 (2001), Issue 1, Pages 29-37
Explicit solutions of generalized nonlinear Boussinesq equations
Department of Mathematics, Firat University, Elazig 23119, Turkey
Received 13 September 2000
Copyright © 2001 Doğan Kaya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.