Journal of Applied Mathematics

Journal of Applied Mathematics / 2001 / Article

Open Access

Volume 1 |Article ID 647692 | https://doi.org/10.1155/S1110757X01000067

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

Received13 Sep 2000

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.

Copyright © 2001 Hindawi Publishing Corporation. 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.


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