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Nonlocal symmetries and a Darboux transformation for the Camassa-Holm equation
Abstract
We announce two new structures associated with the Camassa-Holm (CH) equation: a Lie algebra of nonlocal symmetries, and a Darboux transformation for this important equation, which we construct using only our symmetries. We also extend our results to the associated Camassa-Holm equation introduced by J Schiff (1998 Physica D 121 24-43). © 2009 IOP Publishing Ltd.
Más información
| Título según WOS: | Nonlocal symmetries and a Darboux transformation for the Camassa-Holm equation |
| Título según SCOPUS: | Nonlocal symmetries and a darboux transformation for the camassa-holm equation |
| Título de la Revista: | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL |
| Volumen: | 42 |
| Número: | 18 |
| Editorial: | IOP PUBLISHING LTD |
| Fecha de publicación: | 2009 |
| Idioma: | English |
| URL: | http://stacks.iop.org/1751-8121/42/i=18/a=182002?key=crossref.9a5323bb8d6d6f2cf3d5915e1804a347 |
| DOI: |
10.1088/1751-8113/42/18/182002 |
| Notas: | ISI, SCOPUS |