Abstract
This paper is devoted to the unique global admissible conservative solutions of the periodic dispersive Hunter–Saxton equation. Using the standard ordinary differential equation theory, we first get the global admissible conservative solutions of the periodic dispersive Hunter–Saxton equation. Then, given an admissible conservative solution u(t,x), an equation is introduced which singles out a unique characteristic curve through each initial point. Finally, by building an ordinary differential equation system, we get the uniqueness of the global admissible conservative solutions without any additional assumptions.
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