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Superposition formulas for nonlinear superequations (1990)

Beckers, J. ; Gagnon, L. ; Hussin, V. ; [weitere]

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 31 (1990), S. 2528-2534

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: Nonlinear superequations, for which the general solution can be expressed algebraically in terms of a finite number of particular solutions, are obtained. They are based on the orthosymplectic supergroup OSP(m,2n) and its action on a homogeneous superspace. Superposition formulas are discussed for the cases m=1, n arbitrary, and m=2, n=1. For OSP(2,2) the number of particular solutions needed to reconstruct the general solution depends on the dimension of the underlying Grassmann algebra, whereas for OSP(1,2n) it does not.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.528997

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