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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 3, Pages 381–390
DOI: https://doi.org/10.4213/tmf9498 (Mi tmf9498) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integrability properties of a supersymmetric coupled dispersionless integrable system

A. Mirza, M. Hassan

Department of Physics, University of the Punjab, Lahore, Punjab, Pakistan
Full-text PDF (369 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9498
Abstract: We study the integrability aspects of an $N=1$ supersymmetric coupled dispersionless (SUSY-CD) integrable system in detail. We present a superfield Lax representation of the SUSY-CD system by writing its $(3{\times}3)$-matrix superfield Lax pair and show that the zero-curvature condition corresponds to the SUSY-CD system. From the fermionic superfield Lax representation, we obtain a set of coupled superfield Riccati that we further use to obtain an infinite set of superfield conserved currents. We investigate the Darboux transformation of the SUSY-CD system and use it to obtain multisoliton solutions of the system.
Keywords: integrable system, supersymmetry, Darboux transformation, supersymmetric coupled dispersionless system.
Received: 23.10.2017
Revised: 12.12.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 3, Pages 825–833
DOI: https://doi.org/10.1134/S004057791806003X
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik, 11.30.Pb, 47.35.Fg
Language: Russian
Citation: A. Mirza, M. Hassan, “Integrability properties of a supersymmetric coupled dispersionless integrable system”, TMF, 195:3 (2018), 381–390; Theoret. and Math. Phys., 195:3 (2018), 825–833
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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