Peaked Soliton (Peakon) in Degasperis Procesi Equation

By using the dynamical system theory the Degasperis-Processi equation are studied. The bounded travelling wave solutions such as peakons are analytically described. The Degasperis-Procesi equation is converted to the ordinary differential equation which are solved for all possible soliton solutions of Degasperis-Procesi equation. We construct exact travelling wave solution for degasperis-Procesiequation, and the obtained solution agrees well with the previously known result.