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 constra...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 H^(1)∩W^(1,4)norm.展开更多
文摘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 H^(1)∩W^(1,4)norm.