The Camassa-Holm (CH) equation wT + 2κ2wX-wTXX + 3wwX =2wXwXX + wwXXX has attracted considerable interest since it has been derived as a model equation for shallow-water waves [1].Originally, the CH equation has been found in a mathematical search of recursion operators connected with the integrable partial differential equations [2].The CH equation is shown to be completely integrable, admitting peakon solutions represented by piecewise analytic functions when κ =0 [3].When κ ≠ 0, solutions re cover analytic nature, but expressed in a parametric form.The existence of cusped soliton solutions were also shown by Kraenkel and Zenchuk [4].