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Soliman, A. A.; Abdou, M. A.

The decomposition method for solving the coupled modified KdV equations. (English) Zbl 1144.65318

Math. Comput. Modelling 47, No. 9-10, 1035-1041 (2008).
Summary: In this paper, the Adomian decomposition method for the approximate solution of coupled modified KdV equations with appropriate initial values is implemented. By using this method, the solution is calculated in the form of power series. The method does not need linearization, weak nonlinearity assumption or perturbation theory. By using the Maple Program, Adomian polynomials of the obtained series solution have been evaluated.

Cited in 7 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35Q53 KdV equations (Korteweg-de Vries equations)

Keywords:

coupled modified KdV equations; adomian decomposition; adomian polynomials

Software:

Maple
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\textit{A. A. Soliman} and \textit{M. A. Abdou}, Math. Comput. Modelling 47, No. 9--10, 1035--1041 (2008; Zbl 1144.65318)
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