Summary: We use the homotopy analysis method to find a family of solitary smooth hump solutions of Camassa-Holm equation. This approximate solution, which is obtained as a series in exponentials, agrees well with the known exact solution. This paper complements the work of W. Wu
and S. Liao
[ibid. 26, No. 1, 177–185 (2005; Zbl 1071.76009
)] who used the homotopy analysis method to find a different family of solitary-wave solutions.