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 Bäcklund transformations of the equation. These are used to find 2-soliton solutions of the CH equation, as well as some novel singular solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 24-43 |
| Number of pages | 20 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 121 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1998 |
Keywords
- Integrable PDEs
- Loop groups
- Solitons
Fingerprint
Dive into the research topics of 'The Camassa-Holm equation: A loop group approach'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver