Abstract:
In this paper, the homotopy analysis method is applied to obtain the solutions of BBM-BBM system. This analytic technique is valid for dealing with the nonlinearity and provides a convenient way of controlling the convergence region and rate of the series solution. The results obtained by the present method are compared with exact solutions, and it is seen that
they are in excellent agreement.
Key Words: BBM-BBM system, Homotopy analysis method, Convergence analysis.
2000 Mathematics Subject Classification: Primary: 55U40;
Secondary: 34A34, 35C10, 34A45.
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