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Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation

Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation

We employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperisā€Procesi equation . The implicit expression of smooth soliton solutions is given. The explicit expressions of peaked soliton solutions and periodic cuspon solutions are also obtained. Further, we show the relationship ā€¦