10 citations · 10 across the 2 of their papers we have counts for
2 papers
math.AP2022
The r-Camassa-Holm equation: smooth and singular solutions
C. J. Cotter, D. D. Holm, T. Pryer
This paper introduces the r-Camassa-Holm (r-CH) equation, which describes a geodesic flow on the manifold of diffeomorphisms acting on the real line induced by the W1,r metric. The…
math.AP2019★ 10 cited
The r-Hunter-Saxton equation, smooth and singular solutions and their approximation
Colin Cotter, Jacob Deasy, Tristan Pryer
In this work we introduce the r-Hunter-Saxton equation, a generalisation of the Hunter-Saxton equation arising as extremals of an action principle posed in L_r. We characterise sol…