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An application of the decomposition method for the generalized KdV and RLW equations

✍ Scribed by Doǧan Kaya; Salah M. El-Sayed

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
117 KB
Volume
17
Category
Article
ISSN
0960-0779

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✦ Synopsis

We consider solitary-wave solutions of the generalized regularized long-wave (RLW) and Korteweg-de Vries (KdV) equations. We prove the convergence of Adomian decomposition method applied to the generalized RLW and KdV equations. Then we obtain the exact solitary-wave solutions and numerical solutions of the generalized RLW and KdV equations for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the generalized RLW and KdV equations.

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