The homotopy analysis method (HAM) is applied to the Degasperis–Procesi equation in order to find
analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the
family of solitary smooth-hump waves. It is demonstrated that the approximate solutions agree well with
the exact solutions. This provides further evidence that the HAM is a powerful tool for finding excellent
approximations to nonlinear solitary waves.
کلید واژگان :
Degasperis–Procesi equation; homotopy analysis method; solitary-wave solution; series solution
