Generalized Super Bell Polynomials with Applications to Superymmetric Equations

Details Generalized Super Bell Polynomials with Applications to Superymmetric Equations Generalized Super Bell Polynomials with Applications to Superymmetric Equations

2010-08-25

arxiv.org/abs/1008.4198v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

36 pages

Scientific paper

In this paper, we introduce a class of new generalized super Bell polynomials on a superspace, explore their properties, and show that they are a natural and effective tool to systematically investigate integrability of supersymmetric equations. The connections between the super Bell polynomials and super bilinear representation, bilinear B\"{a}cklund transformation, Lax pair and infinite conservation laws of supersymmetric equations are established. We take supersymmetric KdV equation and supersymmetric sine-Gordon equation to illustrate this procedure.

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