Explicit solutions of generalized nonlinear Boussinesq equations
Kaya, Doğan
J. Appl. Math., Tome 1 (2001) no. 2, p. 29-37 / Harvested from Project Euclid
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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.
Publié le : 2001-05-14
Classification:  35Q53,  35Q58 
@article{1048560223,
     author = {Kaya, Do\u gan},
     title = {Explicit solutions of generalized
 nonlinear Boussinesq equations},
     journal = {J. Appl. Math.},
     volume = {1},
     number = {2},
     year = {2001},
     pages = { 29-37},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1048560223}
}

Kaya, Doğan. Explicit solutions of generalized
 nonlinear Boussinesq equations. J. Appl. Math., Tome 1 (2001) no. 2, pp.  29-37. http://gdmltest.u-ga.fr/item/1048560223/