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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf9953https://doi.org/10.4213/tmf9953 https://www.mathnet.ru/eng/tmf/v206/i2/p149
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Abstract page: | 210 | Full-text PDF : | 30 | References: | 43 | First page: | 8 |
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