Generalized Super Bell Polynomials with Applications to Superymmetric Equations

التفاصيل البيبلوغرافية
العنوان: Generalized Super Bell Polynomials with Applications to Superymmetric Equations
المؤلفون: Fan, Engui, Hon, Y. C.
سنة النشر: 2010
المجموعة: Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Exactly Solvable and Integrable Systems
الوصف: 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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1008.4198
رقم الأكسشن: edsarx.1008.4198
قاعدة البيانات: arXiv