The Korteweg–de Vries–Burgers equation and its approximate solution

In this paper, we study the Korteweg–de Vries–Burgers equation with boundary conditions. After making a series of transformations, we convert the Korteweg–de Vries–Burgers equation into an Emden–Fowler equation. An approximate solution in series form is obtained by means of the Adomian decomposition method. The solution is illustrated to agree well with phase plane analysis.

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