Article ID Journal Published Year Pages File Type
1890788 Chaos, Solitons & Fractals 2006 7 Pages PDF
Abstract

This paper presents two methods for finding the soliton solutions to the nonlinear dispersive and dissipative KdV–Burgers equation. The first method is a numerical one, namely the finite differences with variable mesh. The stability of the numerical scheme is discussed. The second method is the semi-analytic Adomian decomposition method. Test example is given. A comparison between the two methods is carried out to illustrate the pertinent feature of the proposed algorithm.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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