Integrability properties of a coupled KdV system and its supersymmetric extension

19th Chilean Physics Symposium 2014

Sotomayor, Adrián^1 ; Restuccia, Alvaro^2

Departament of Matemathics, Antofagasta University, Antofagasta, Chile^1

Physics Departament, Antofagasta University, Antofagasta, Chile^2

关键词: Clifford algebra;    Coupled KdV system;    Grassmann algebra;    Hamiltonian structures;    Integrable systems;    Stability properties;    Static solutions;    Supersymmetric extensions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/720/1/012017/pdf
DOI  :  10.1088/1742-6596/720/1/012017

来源: IOP

【 摘 要 】

We discuss several integrability properties of a coupled KdV system. We obtain a new generalization of the already known static solutions for the system. We then consider the supersymmetric extension of the coupled KdV system, it is a new integrable system. We show that for particular Grassmann algebras the system is the limit of a Clifford algebra valued system with nice stability properties. We briefly discuss the hamiltonian structures of this supersymmetric integrable system.