Lagrangian time-discretization of the Hunter-Saxton equation

Details Lagrangian time-discretization of the Hunter-Saxton equation Lagrangian time-discretization of the Hunter-Saxton equation

2002-01-16

arxiv.org/abs/math-ph/0201035v4

Phys. Lett. A (2002) V. 304 no. 5-6 157-167

Physics

Mathematical Physics

13 pages, LaTeX, no figures. Version 2: New section about the group of orientation-preserving diffeomorphisms of the circle is

Scientific paper

10.1016/S0375-9601(02)01388-9

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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