Geodesic
Superfield B\"{a}cklund and Darboux transformations of an~$\mathcal N=1$ supersymmetric coupled dispersionless integrable system
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 114-123

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We use a superfield Darboux matrix to study Darboux transformations of an $\mathcal N=1$ supersymmetric coupled dispersionless integrable system. The notion of quasideterminants is used to obtain superfield $N$-soliton solutions of that system. A superfield Lax representation is used to obtain a superfield Bäcklund transformation via a set of superfield Riccati equations. The Bäcklund and Darboux transformations are further used to compute explicit expressions for superfield soliton solutions of the supersymmetric coupled dispersionless integrable system.
Keywords: integrable system, supersymmetry, Bäcklund transformation, supersymmetric coupled dispersionless system.
Mots-clés : Darboux transformation 
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     title = {Superfield {B\"{a}cklund} and {Darboux} transformations of an~$\mathcal N=1$ supersymmetric coupled dispersionless integrable system},
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A. Mirza; M. ul Hassan. Superfield B\"{a}cklund and Darboux transformations of an~$\mathcal N=1$ supersymmetric coupled dispersionless integrable system. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 114-123. http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a7/