Volume 18, Issue Supplement 1, September 2011, Pages 51 - 60
Classical Lie Symmetries and Reductions of a Nonisospectral Lax Pair
Authors
P. G. Estévez
Departamento de Fisica Fundamental, Universidad de Salamanca, Spain,pilar@usal.es
M. L. Gandarias
Departamento de Matematicas, Universidad de Cádiz, Spain
J. Lucas
Institute of Mathematics, Polish Academy of Sciences, Warszawa, Poland
Received 20 September 2010, Accepted 12 November 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001271How to use a DOI?
- Keywords
- Lie symmetries; similarity reductions; problems
- Abstract
The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2 + 1 dimensions (Maccari A, J. Math. Phys. 12 (1998) 6547–6551.). Identification of the classical Lie symmetries provides a set of reductions that give rise to different nontrivial spectral problems in 1 + 1 dimensions. The form in which the spectral parameter of the 1 + 1 Lax pair is introduced is carefully described.
- Copyright
- © 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 - M. L. Gandarias AU - J. Lucas PY - 2021 DA - 2021/01/07 TI - Classical Lie Symmetries and Reductions of a Nonisospectral Lax Pair JO - Journal of Nonlinear Mathematical Physics SP - 51 EP - 60 VL - 18 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001271 DO - 10.1142/S1402925111001271 ID - Estévez2021 ER -