Bosonization and operatorial extensions of supersymmetric Korteweg-de Vries equations

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Sotomayor, Adrián^1 ; Fernández, Mercedes^1 ; Restuccia, Alvaro^2

Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile^1

Departamento de Física, Universidad de Antofagasta, Antofagasta, Chile^2

关键词: Bosonization;    Hamiltonian structures;    Integrability;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012025/pdf
DOI  :  10.1088/1742-6596/490/1/012025

来源: IOP

【 摘 要 】

We discuss the bosonization of supersymmetric KdV as a first step on the construction of operatorial extensions of that system. We obtain the hamiltonian structure of those operatorial extensions using extended Miura tranformations. We also discuss their integrability properties in terms of extended Gardner tranformations. We give explicit examples of some operatorial extensions.