Journal of Nonlinear Mathematical Physics

Volume 17, Issue 4, December 2010, Pages 517 - 538

Generalized, Master and Nonlocal Symmetries of Certain Deformed Nonlinear Partial Differential Equations

Authors
R. Sahadevan*, L. Nalinidevi
Ramanujan Institute For Advanced Study in Mathematics, University of Madras, Chennai-600 005, Tamilnadu, India
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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 4
Pages
517 - 538
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110001033How to use a DOI?
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  -