Orbital Stability of Peakons for the Modified Camassa-Holm Equation

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In this paper,we investigate the orbital stability of the peaked solitons(peakons)for the modified Camassa-Holm equation with cubic nonlinearity.We consider a minimization problem with an appropriately chosen constraint,from which we establish the orbital stability of the peakons under H1 ∩ W1\'4 norm.
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