Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions
- 10.1142/S140292511100112XHow to use a DOI?
- Lie symmetries; reductions; Camassa–Holm hierarchy
The non-isospectral problem (Lax pair) associated with a hierarchy in 2 + 1 dimensions that generalizes the well known Camassa–Holm hierarchy is presented. Here, we have investigated the non-classical Lie symmetries of this Lax pair when the spectral parameter is considered as a field. These symmetries can be written in terms of five arbitrary constants and three arbitrary functions. Different similarity reductions associated with these symmetries have been derived. Of particular interest are the reduced hierarchies whose 1 + 1 Lax pair is also non-isospectral.
- © 2011 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 - J. D. Lejarreta AU - C. Sardón PY - 2021 DA - 2021/01/07 TI - Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions JO - Journal of Nonlinear Mathematical Physics SP - 9 EP - 28 VL - 18 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S140292511100112X DO - 10.1142/S140292511100112X ID - Estévez2021 ER -