SUPERPOSITION FORMULAS FOR NONLINEAR SUPEREQUATIONS

被引：14

作者：

BECKERS, J

GAGNON, L

HUSSIN, V

WINTERNITZ, P

机构：

[1] UNIV LAVAL,CTR OPT PHOTON & LASER,QUEBEC CITY G1K 7P4,QUEBEC,CANADA

[2] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,QUEBEC,CANADA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 10期

关键词：

D O I：

10.1063/1.528997

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. © 1990 American Institute of Physics.

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页码：2528 / 2534

页数：7

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