Bounded travelling wave solutions for a modified form of generalized Degasperis–Procesi equation

摘要

In this paper, a modified form of generalized Degasperis–Procesi equation is studied by using the bifurcation theory and by the method of phase portraits analysis. Some bounded travelling waves (loop solitons, peakons, solitary waves and periodic waves) are found. Under different parameter conditions, exact parametric representations of the above travelling waves in explicit form and in implicit form are obtained.