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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 206, Number 2, Pages 149–163
DOI: https://doi.org/10.4213/tmf9953 (Mi tmf9953) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Binary Darboux transformation for a negative-order AKNS equation

Z. Amjad, D. Khan

Department of Physics, University of the Punjab, Lahore, Pakistan
Full-text PDF (763 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9953
Abstract: We study a binary Darboux transformation for a negative-order AKNS equation. Iterating the transformation, we obtain $N$-fold quasi-Grammian solutions expressed in terms of quasideterminants. In some simple cases, we construct explicit solutions of the studied equation with nonvanishing and vanishing backgrounds including bright and dark breathers, a soliton, and solutions with one and two humps.
Keywords: soliton, integrable system, Darboux transformation, binary Darboux transformation, quasideterminant.
Received: 06.07.2020
Revised: 05.10.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 206, Issue 2, Pages 128–141
DOI: https://doi.org/10.1134/S0040577921020021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Z. Amjad, D. Khan, “Binary Darboux transformation for a negative-order AKNS equation”, TMF, 206:2 (2021), 149–163; Theoret. and Math. Phys., 206:2 (2021), 128–141
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\vol 206
\issue 2
\pages 128--141
\crossref{https://doi.org/10.1134/S0040577921020021}
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    • This publication is cited in the following 5 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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    References:43
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