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- W2133047527 abstract "The N = 2 super-KP equation associated with nonstandard flows is bilinearized using the Hirota method and soliton solutions are obtained. The bilinearization has been done for component fields and its KdVlimit is discussed by comparing the soliton solutions obtained by this procedure with those found from the N = 1 superspace formalism. The equivalence of these two procedures in the KdVlimit is observed. Supersymmetry is mathematically formulated by extending ordinary space to include anticommuting or Grassmann variables in order that bosons and fermions may be treated in a unified way. Interestingly a number of bosonic integrable hierarchies can be extended to the supersymmetric framework. The connection of integrable models with supersymmetry was established with the supersymmetrization of bosonic integrable models such as the sine-Gordon equation [1], the KP hierarchy [2], the KdVhierarchy [2], the Boussinesq equation [3] and a number of other systems. Moreover many of the methods developed in the study of integrable models were applied to the supersymmetric regime among them ∞ �" @default.
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- W2133047527 date "2003-01-01" @default.
- W2133047527 modified "2023-09-24" @default.
- W2133047527 title "Soliton Solutions of the N = 2 Supersymmetric KP Equation" @default.
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- W2133047527 doi "https://doi.org/10.2991/jnmp.2003.10.4.6" @default.
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