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Adomian decomposition method for approximating the solution of the Korteweg-deVries equation. (English) Zbl 1063.65112

Summary: The Adomian decomposition method for solving the nonlinear Korteweg-deVries equation is implemented with appropriate initial conditions. We discuss the case when the problem has either one or more solitons. Some numerical examples are presented.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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