Geodesic
Binary Darboux transformation for a negative-order AKNS equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 149-163
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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.
Mots-clés : soliton, Darboux transformation
Keywords: integrable system, binary Darboux transformation, quasideterminant. 
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Z. Amjad; D. Khan. Binary Darboux transformation for a negative-order AKNS equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 206 (2021) no. 2, pp. 149-163. http://geodesic.mathdoc.fr/item/TMF_2021_206_2_a1/

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