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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 219, Number 1, Pages 114–123
DOI: https://doi.org/10.4213/tmf10605 (Mi tmf10605) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Superfield Bäcklund and Darboux transformations of an $\mathcal N=1$ supersymmetric coupled dispersionless integrable system

A. Mirzaab, M. ul Hassana

a Department of Physics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
b Department of Software Engineering, Faculty of Computing and Information Technology, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
Full-text PDF (368 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf10605
Abstract: We use a superfield Darboux matrix to study Darboux transformations of an $\mathcal N=1$ supersymmetric coupled dispersionless integrable system. The notion of quasideterminants is used to obtain superfield $N$-soliton solutions of that system. A superfield Lax representation is used to obtain a superfield Bäcklund transformation via a set of superfield Riccati equations. The Bäcklund and Darboux transformations are further used to compute explicit expressions for superfield soliton solutions of the supersymmetric coupled dispersionless integrable system.
Keywords: integrable system, supersymmetry, Darboux transformation, Bäcklund transformation, supersymmetric coupled dispersionless system.
Received: 03.09.2023
Revised: 04.11.2023
Published: 28.03.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 219, Issue 1, Pages 629–637
DOI: https://doi.org/10.1134/S0040577924040081
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik, 11.30.Pb, 47.35.Fg
Language: Russian
Citation: A. Mirza, M. ul Hassan, “Superfield Bäcklund and Darboux transformations of an $\mathcal N=1$ supersymmetric coupled dispersionless integrable system”, TMF, 219:1 (2024), 114–123; Theoret. and Math. Phys., 219:1 (2024), 629–637
Citation in format AMSBIB
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\by A.~Mirza, M.~ul Hassan
\paper Superfield B\"{a}cklund and Darboux transformations of an~$\mathcal N=1$ supersymmetric coupled dispersionless integrable system
\jour TMF
\yr 2024
\vol 219
\issue 1
\pages 114--123
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\crossref{https://doi.org/10.4213/tmf10605}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2024TMP...219..629M}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 219
\issue 1
\pages 629--637
\crossref{https://doi.org/10.1134/S0040577924040081}
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  • https://www.mathnet.ru/eng/tmf/v219/i1/p114
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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