The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa–Holm
equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact
solution. This paper complements the work of Wu and Liao [Wu W, Liao S. Solving solitary waves with discontinuity
by means of the homotopy analysis method. Chaos, Solitons & Fractals 2005;26:177–85] who used the homotopy analysis
method to find a different family of solitary-wave solutions.
