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Transient asymptotics of the modified Camassa–Holm equation

Transient asymptotics of the modified Camassa–Holm equation

Abstract We investigate long time asymptotics of the modified Camassa–Holm equation in three transition zones under a nonzero background. The first transition zone lies between the soliton region and the first oscillatory region, the second one lies between the second oscillatory region and the fast decay region, and possibly, the …