Lagrangian time-discretization of the Hunter-Saxton equation
classification
🧮 math-ph
math.MP
keywords
discretizationsequationgrouphunter-saxtonlagrangianapproachcircleconjecture
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We study Lagrangian time-discretizations of the Hunter-Saxton equation. Using the Moser-Veselov approach, we obtain such discretizations defined on the Virasoro group and on the group of orientation-preserving diffeomorphisms of the circle. We conjecture that one of these discretizations is integrable.
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