Solitary wave solutions for the general KDV equation by Adomian decomposition method

@article{Ismail2004SolitaryWS,
title={Solitary wave solutions for the general KDV equation by Adomian decomposition method},
author={Hassan N. A. Ismail and Kamal R. Raslan and Ghada S. E. Salem},
journal={Applied Mathematics and Computation},
year={2004},
volume={154},
pages={17-29}
}

In recent publications [Chaos, Solitons Fractals 12 (2001) 2283; Int. J. Appl. Math. 3 (4) (2000) 361], we have dealt with the numerical solutions of the Korteweg–De-Vries (KDV) and modified Korteweg–De-Vries (MKDV) equations. We extend this study to a more general nonlinear equation, which is the general Korteweg–De-Vries (GKDV) equation, in which the previous studies is a special case of it. The method applied here is Adomian decomposition method, which has been developed by George Adomian… CONTINUE READING