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Bilityofthedp

Stability of Peakonsfor the Degasperis-Procesi Equation

These three cases exhaust in the completely integrable candidates for (1.2) by Painlev¶eanalysis. Degasperis, Holm and Hone[12]showed the formal integra-bilityoftheDP equation as Hamiltonian systems by constructinga Lax pair and a bi-Hamiltonian structure.