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Existence and uniqueness of global weak solutions to a generalized Camassa-Holm equation

Published 14 May 2019 in math-ph and math.MP | (1905.06150v2)

Abstract: This paper is concerned with the existence and uniqueness of global weak solutions to a generalized Camassa-Holm equation on real line. By introducing some new variables, the equation is transformed into two different semi-linear systems. Then the existence and uniqueness of global weak solutions to the original equation are obtained from that of the two semi-linear systems, respectively.

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