Volume 20, Issue 4, December 2013, Pages 552 - 564
Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2 + 1 dimensions
Authors
P. G. Estévez
Departamento de Fisica Fundamental, Universidad de Salamanca, Plaza de la Merced s/n. Salamanca, 37008, Spain,pilar@usal.es
C. Sardón
Departamento de Fisica Fundamental, Universidad de Salamanca, Plaza de la Merced s/n. Salamanca, 37008, Spain,cristinasardon@usal.es
Received 26 June 2013, Accepted 2 October 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.868268How to use a DOI?
- Keywords
- reciprocal transformations; integrable hierarchies; spectral problems
- Abstract
We present two hierarchies of partial differential equations in 2 + 1 dimensions. Since there exist reciprocal transformations that connect these hierarchies to the Calogero-Bogoyavlenski-Schiff equation and its modified version, we can prove that one of the hierarchies can be considered as a modified version of the other. The connection between them can be achieved by means of a combination of reciprocal and Miura transformations.
- Copyright
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - P. G. Estévez AU - C. Sardón PY - 2021 DA - 2021/01/06 TI - Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2 + 1 dimensions JO - Journal of Nonlinear Mathematical Physics SP - 552 EP - 564 VL - 20 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.868268 DO - 10.1080/14029251.2013.868268 ID - Estévez2021 ER -