Geodesic
Bilinearization and soliton solutions of the~supersymmetric coupled KdV equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 14-19

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We propose an $N=1$ supersymmetric generalization of the coupled Korteweg–de Vries (KdV) equation and use the Hirota superoperator to obtain a superfield bilinear form of the supersymmetric coupled KdV equation. Using the Hirota method, we obtain explicit expressions for superfield soliton solutions of the supersymmetric coupled KdV equation. We also find superfield one- and two-soliton solutions.
Keywords: integrable system, supersymmetry, bilinearization, supersymmetric coupled Korteweg–de Vries equation. 
@article{TMF_2020_202_1_a1,
     author = {A. Mirza and M.ul Hassan},
     title = {Bilinearization and soliton solutions of the~supersymmetric coupled {KdV} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {14--19},
     publisher = {mathdoc},
     volume = {202},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_202_1_a1/}
}
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A. Mirza; M.ul Hassan. Bilinearization and soliton solutions of the~supersymmetric coupled KdV equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 14-19. http://geodesic.mathdoc.fr/item/TMF_2020_202_1_a1/