The Camassa-Holm Equation: A Loop Group Approach
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
A map is presented that associates with each element of a loop group a solution of an equation related by a simple change of coordinates to the Camassa-Holm (CH) Equation. Certain simple automorphisms of the loop group give rise to Backlund transformations of the equation. These are used to find 2-soliton solutions of the CH equation, as well as some novel singular solutions.
Cite
@article{arxiv.solv-int/9709010,
title = {The Camassa-Holm Equation: A Loop Group Approach},
author = {Jeremy Schiff},
journal= {arXiv preprint arXiv:solv-int/9709010},
year = {2009}
}
Comments
19 pages, 7 figures; LaTeX with psfig