Volume 24, Issue 1, December 2016, Pages 107 - 115
Bilinearization and soliton solutions of N=1 supersymmetric coupled dispersionless integrable system
Authors
Arifa Mirza1, 2, Mahmood ul Hassan1
1Department of Physics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan,arifa.mirza@pucit.edu.pk,mhassan@physics.pu.edu.pk
2Department of Physics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan,mhassan@physics.pu.edu.pk
Received 23 October 2016, Accepted 21 December 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2017.1282247How to use a DOI?
- Keywords
- integrable systems; supersymmetry; coupled dispersionless system; bilinearization; Hirota method
- Abstract
An N=1 supersymmetric generalization of coupled dispersionless (SUSY-CD) integrable system has been proposed by writing its superfield Lax representation. It has been shown that under a suitable variable transformation, the SUSY-CD integrable system is equivalent to N=1 supersymmetric sine-Gordon equation. A superfield bilinear form of SUSY-CD integrable system has been proposed by using super Hirota operator. Explicit expressions of superfield soliton solutions of SUSY-CD integrable system have been obtained by using the Hirota method.
- Copyright
- © 2017 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 - Arifa Mirza AU - Mahmood ul Hassan PY - 2021 DA - 2021/01/06 TI - Bilinearization and soliton solutions of N=1 supersymmetric coupled dispersionless integrable system JO - Journal of Nonlinear Mathematical Physics SP - 107 EP - 115 VL - 24 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1282247 DO - 10.1080/14029251.2017.1282247 ID - Mirza2021 ER -