Document Type
Conference Paper
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
We introduce EPDiff equations as Euler-Poincare´ equations related to Lagrangian provided by a metric, invariant under the Lie Group Diff(Rn). Then we proceed with a particular form of EPDiff equations, a cross coupled two-component system of Camassa-Holm type. The system has a new type of peakon solutions, 'waltzing' peakons and compacton pairs.
DOI
https://doi.org/10.21427/r7rn-r265
Recommended Citation
Cotter, C.J., Holm, D.D. & Ivanov, R.I. (2012). Singular Solutions of Coss-coupled EPDiff Equations: Waltzing Peakons and Compacton Pairs. BGSIAM'11 Proceedings, Sofia (2012), pg. 26-31. doi:10.21427/r7rn-r265
Funder
SFI
Included in
Dynamic Systems Commons, Non-linear Dynamics Commons, Numerical Analysis and Computation Commons, Ordinary Differential Equations and Applied Dynamics Commons, Partial Differential Equations Commons
Publication Details
Colin J. Cotter, Darryl D. Holm, Rossen I. Ivanov and James R. Percival, Singular solutions of cross-coupled EPDiff equations: waltzing peakons and compacton pairs; , In: BGSIAM'11 Proceedings, Eds: S. Margenov, S. Dimova and A. Slavova, Demetra Publishing, Sofia (2012), pp. 26-31.