16 citations · 25 across the 2 of their papers we have counts for
2 papers
math-ph2010★ 16 cited
The curvature of semidirect product groups associated with two-component Hunter-Saxton systems
Martin Kohlmann
In this paper, we study two-component versions of the periodic Hunter-Saxton equation and its -variant. Considering both equations as a geodesic flow on the semidirect product o…
math-ph2010★ 9 cited
The periodic --equation and Euler equations on the circle
Martin Kohlmann
In this paper, we study the -variant of the periodic -equation and show that this equation can be realized as a metric Euler equation on the Lie group $\Diff^{\infty}(§)$ if…