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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 202, Number 1, Pages 14–19
DOI: https://doi.org/10.4213/tmf9713 (Mi tmf9713) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Bilinearization and soliton solutions of the supersymmetric coupled KdV equation

A. Mirzaab, M.ul Hassana

a Department of Physics, University of the Punjab, Lahore, Pakistan
b Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan
Full-text PDF (335 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9713
Abstract: We propose an N=1 supersymmetric generalization of the coupled Korteweg–de Vries (KdV) equation and use the Hirota superoperator to obtain a superfield bilinear form of the supersymmetric coupled KdV equation. Using the Hirota method, we obtain explicit expressions for superfield soliton solutions of the supersymmetric coupled KdV equation. We also find superfield one- and two-soliton solutions.
Keywords: integrable system, supersymmetry, bilinearization, supersymmetric coupled Korteweg–de Vries equation.
Received: 27.02.2019
Revised: 26.06.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 202, Issue 1, Pages 11–16
DOI: https://doi.org/10.1134/S004057792001002X
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik, 11.30.Pb, 47.35.Fg
Language: Russian
Citation: A. Mirza, M.ul Hassan, “Bilinearization and soliton solutions of the supersymmetric coupled KdV equation”, TMF, 202:1 (2020), 14–19; Theoret. and Math. Phys., 202:1 (2020), 11–16
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9713
  • https://www.mathnet.ru/eng/tmf/v202/i1/p14
    • This publication is cited in the following 3 articles:
    1. Arifa Mirza, Mahmood ul Hassan, “More on bilinearization of supersymmetric coupled dispersionless (SUSY-CD) integrable system”, Rev. Math. Phys., 37:03 (2025)  crossref
    2. A. Mirza, M. ul Hassan, “A supersymmetric second Painlevé hierarchy and bilinearization”, Theoret. and Math. Phys., 216:1 (2023), 938–943  mathnet  crossref  crossref  mathscinet  adsnasa
    3. S. Baharlouei, R. Mokhtari, N. Chegini, “A stable numerical scheme based on the hybridized discontinuous Galerkin method for the Ito-type coupled KdV system”, Commun. Appl. Math. Comput., 4:4 (2022), 1351  crossref  mathscinet
    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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    Full-text PDF :65
    References:44
    First page:12
     
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