Abstract:
A supersymmetric extension of second Painlevé equation is studied and a superfield bilinear form of the supersymmetric second Painlevé equation is proposed. We present a hierarchy of the supersymmetric second Painlevé equation.
Keywords:
integrable systems, supersymmetry, bilinearization, supersymmetric second Painlevé equation.
Citation:
A. Mirza, M. ul Hassan, “A supersymmetric second Painlevé hierarchy and
bilinearization”, TMF, 216:1 (2023), 36–42; Theoret. and Math. Phys., 216:1 (2023), 938–943
This publication is cited in the following 2 articles:
Arifa Mirza, Mahmood ul Hassan, “More on bilinearization of supersymmetric coupled dispersionless (SUSY-CD) integrable system”, Rev. Math. Phys., 37:03 (2025)
A. Mirza, M. ul Hassan, “Superfield Bäcklund and Darboux transformations of an N=1 supersymmetric coupled dispersionless integrable system”, Theoret. and Math. Phys., 219:1 (2024), 629–637