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Stability of peakons for a modified Camassa-Holm equation (1304.4038v2)
Published 15 Apr 2013 in math.AP
Abstract: In this paper, we investigate the orbital stability of peakons for a modified Camassa-Holm equation with cubic nonlinearity derived from the two-dimensional Euler equation. By overcoming the difficulties caused by one of the complicated conservation laws and introducing a new auxiliary function, we prove the orbital stability of peakons for the equation.