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Volume 20, Issue 2, May 2013, Pages 179 - 190
New Integrable and Linearizable Nonlinear Difference Equations
Received 11 October 2012, Accepted 7 January 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.805563How to use a DOI?
- Keywords
- 02.30.Ik
- Abstract
A systematic investigation to derive nonlinear lattice equations governed by partial difference equations (PΔΔE) admitting specific Lax representation is presented. Further it is shown that for a specific value of the parameter the derived nonlinear PΔΔE's can be transformed into a linear PΔΔE's under a global transformation. Also it is demonstrated how to derive higher order ordinary difference equations (OΔE) or mappings in general and linearizable ones in particular from the obtained nonlinear PΔΔE's through periodic reduction. The question of measure preserving property of the obtained OΔE's and the construction of more than one integrals (or invariants) of them is examined wherever possible.
- 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/).
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Cite this article
TY - JOUR AU - R. Sahadevan AU - G. Nagavigneshwari PY - 2021 DA - 2021/01/06 TI - New Integrable and Linearizable Nonlinear Difference Equations JO - Journal of Nonlinear Mathematical Physics SP - 179 EP - 190 VL - 20 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.805563 DO - 10.1080/14029251.2013.805563 ID - Sahadevan2021 ER -