Abstract
With the aid of the symbolic computation software Maple, the paper deals analytically with approximate solutions of the Benney-Lin equation. A direct technique, homotopy analysis method, is employed to solve the Benney-Lin equation with the initial-value condition. A comparison is made between the approximate solutions and exact solutions, which reveals that the approximate solutions are accurate and effective. The results prove that the employed method is a reliable and powerful mathematical tool to solve nonlinear differential equation.
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