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A Homotopy analytical method (HAM) for solving nonlinear coupled Korteweg-de Vries (KdV) system is presented. The HAM contains an assistant parameter, which gives a helpful manner of controlling the merging locale of the arrangements. We will comparison exact solution with numerical results. This technique provides an efficient and effectives approximate analytical solution with high accuracy appeared graphically in figures demonstrate and affirm the tall precision and outlining the productivity and straightforwardness of the strategy.
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