Uniqueness of conservative solutions to the the modified Camassa-Holm equation via Characteristics

Abstract

In this paper,for a given conservative solution, we introduce a set of auxiliary variables tailored to this particular solution, and prove that these variables satisfy a particular semilinear system having unique solutions. In turn, we get the uniqueness of the conservative solution in the original variables.

arXiv admin note: text overlap with arXiv:1401.0312, arXiv:1509.08569 by other authors