Geodesic
Integrability properties of a~supersymmetric coupled dispersionless integrable system
Teoretičeskaâ i matematičeskaâ fizika, Tome 195 (2018) no. 3, pp. 381-390

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We study the integrability aspects of an $N=1$ supersymmetric coupled dispersionless (SUSY-CD) integrable system in detail. We present a superfield Lax representation of the SUSY-CD system by writing its $(3{\times}3)$-matrix superfield Lax pair and show that the zero-curvature condition corresponds to the SUSY-CD system. From the fermionic superfield Lax representation, we obtain a set of coupled superfield Riccati that we further use to obtain an infinite set of superfield conserved currents. We investigate the Darboux transformation of the SUSY-CD system and use it to obtain multisoliton solutions of the system.
Keywords: integrable system, supersymmetry, supersymmetric coupled dispersionless system.
Mots-clés : Darboux transformation 
@article{TMF_2018_195_3_a2,
     author = {A. Mirza and M. Hassan},
     title = {Integrability properties of a~supersymmetric coupled dispersionless integrable system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {381--390},
     publisher = {mathdoc},
     volume = {195},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_195_3_a2/}
}
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A. Mirza; M. Hassan. Integrability properties of a~supersymmetric coupled dispersionless integrable system. Teoretičeskaâ i matematičeskaâ fizika, Tome 195 (2018) no. 3, pp. 381-390. http://geodesic.mathdoc.fr/item/TMF_2018_195_3_a2/