The homotopy analysis method (HAM) is used to find a family of solitary solutions of the homogenous Kuramoto-Tsuzuki equation. This approximate solution, which is obtained as a series of exponentials has a reasonable residual error. An example is given and the numerical results are compared with those of finite difference scheme and exact solution which the comparison shows the accuracy of the HAM method. The HAM contains the auxiliary parameter , which provides us with a simple way to adjust

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... d control the convergence region of solution series.