Volume 17, Issue 4, December 2010, Pages 517 - 538
Generalized, Master and Nonlocal Symmetries of Certain Deformed Nonlinear Partial Differential Equations
Received 17 December 2009, Accepted 13 April 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925110001033How to use a DOI?
- Keywords
- Integrable equations; nonlinear partial differential equations; soliton equations; deformed equations
- Abstract
It is shown that the deformed Nonlinear Schrödinger (NLS), Hirota and AKNS equations with (1 + 1) dimension admit infinitely many generalized (nonpoint) symmetries and polynomial conserved quantities, master symmetries and recursion operator ensuring their complete integrability. Also shown that each of them admits infinitely many nonlocal symmetries. The nature of the deformed equation whether bi-Hamiltonian or not is briefly analyzed.
- Copyright
- © 2010 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 - R. Sahadevan AU - L. Nalinidevi PY - 2021 DA - 2021/01/07 TI - Generalized, Master and Nonlocal Symmetries of Certain Deformed Nonlinear Partial Differential Equations JO - Journal of Nonlinear Mathematical Physics SP - 517 EP - 538 VL - 17 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925110001033 DO - 10.1142/S1402925110001033 ID - Sahadevan2021 ER -