Lagrangian time-discretization of the Hunter-Saxton equation
Mathematical Physics
2009-11-07 v4 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0201035,
title = {Lagrangian time-discretization of the Hunter-Saxton equation},
author = {Alexei V. Penskoi},
journal= {arXiv preprint arXiv:math-ph/0201035},
year = {2009}
}
Comments
13 pages, LaTeX, no figures. Version 2: New section about the group of orientation-preserving diffeomorphisms of the circle is added. Version 3: Minor changes, bibliography updated. Version 4: Corrected typos