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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 188, Number 2, Pages 244–253
DOI: https://doi.org/10.4213/tmf9055 (Mi tmf9055) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Bilinear approach to the supersymmetric Gardner equation

C. N. Babalicab, A. S. Carsteaba

a Department of Theoretical Physics, Institute of Physics and Nuclear Engineering, Bucharest, Romania
b University of Craiova, Craiova, Romania
Full-text PDF (342 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf9055
Abstract: We study a supersymmetric version of the Gardner equation (both focusing and defocusing) using the superbilinear formalism. This equation is new and cannot be obtained from the supersymmetric modified Korteweg–de Vries equation with a nonzero boundary condition. We construct supersymmetric solitons and then by passing to the long-wave limit in the focusing case obtain rational nonsingular solutions. We also discuss the supersymmetric version of the defocusing equation and the dynamics of its solutions.
Keywords: supersymmetry, supersymmetric Hirota bilinear formalism, supersoliton.
Funding agency Grant number
Romanian Ministry of Education and Research PN-II-ID-PCE-2011-3-0083
PN-II-ID-PCE-2011-3-0137
The research of N. C. Babalic is supported by the Romanian Ministry of Education and Research (Project No. PN-II-ID-PCE-2011-3-0083). The research of A. S. Carstea is supported by the Romanian Ministry of Education and Research (Project No. PN-II-ID-PCE-2011-3-0137).
Received: 21.09.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 188, Issue 2, Pages 1172–1180
DOI: https://doi.org/10.1134/S0040577916080031
Bibliographic databases:
Language: Russian
Citation: C. N. Babalic, A. S. Carstea, “Bilinear approach to the supersymmetric Gardner equation”, TMF, 188:2 (2016), 244–253; Theoret. and Math. Phys., 188:2 (2016), 1172–1180
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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