Generalized Super Bell Polynomials with Applications to Superymmetric Equations
Exactly Solvable and Integrable Systems
2010-08-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1008.4198,
title = {Generalized Super Bell Polynomials with Applications to Superymmetric Equations},
author = {Engui Fan and Y. C. Hon},
journal= {arXiv preprint arXiv:1008.4198},
year = {2010}
}
Comments
36 pages