Volume 17, Issue 3, September 2010, Pages 379 - 396
Integrability of Certain Deformed Nonlinear Partial Differential Equations
Received 4 December 2009, Accepted 12 March 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925110000969How to use a DOI?
- Keywords
- Integrable equations; nonlinear partial differential equations; soliton equations; deformed equations
- Abstract
A systematic investigation of certain higher order or deformed soliton equations with (1 + 1) dimensions, from the point of complete integrability, is presented. Following the procedure of Ablowitz, Kaup, Newell and Segur (AKNS) we find that the deformed version of Nonlinear Schrodinger equation, Hirota equation and AKNS equation admit Lax pairs. We report that each of the identified deformed equations possesses the Painlevé property for partial differential equations and admits trilinear representation obtained by truncating the associated Painlevé expansions. Hence the above mentioned deformed equations are completely integrable.
- 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 - Integrability of Certain Deformed Nonlinear Partial Differential Equations JO - Journal of Nonlinear Mathematical Physics SP - 379 EP - 396 VL - 17 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925110000969 DO - 10.1142/S1402925110000969 ID - Sahadevan2021 ER -