Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
24 - 1
Pages
107 - 115
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2017.1282247How to use a DOI?
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  -