Generalized Super Bell Polynomials with Applications to Superymmetric Equations

Autor:	Fan, Engui, Hon, Y. C.
Rok vydání:	2010
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	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. Comment: 36 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1008.4198 Zobrazit plný text záznamu View this record from Arxiv