Supersymmetric extension of a coupled Korteweg-de Vries system

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Sotomayor, Adrián^1,3 ; Restuccia, Alvaro^2

Departament of Mathematics, Universidad de Antofagasta, Antofagasta, Chile^1

Physics Department, Universidad de Antofagasta, Antofagasta, Chile^2

Physics Department, Universidad Simón Bolívar, Caracas, Venezuela^3

关键词: Functionals;    Hamiltonian functional;    Korteweg-de Vries;    Poisson brackets;    Poisson structure;    Supersymmetric extensions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012033/pdf
DOI  :  10.1088/1742-6596/574/1/012033

来源: IOP

【 摘 要 】

We introduce a supersymmetric extension for a parametric coupled Korteweg- de Vries system. The supersymmetric system has two real hamiltonian functionals and two associated basic Poisson structures. The basic Poisson structures allows the construction of a pencil of Poisson brackets and associated to them a hamiltonian functional depending on the parameter of the pencil. The two basic Poisson brackets are compatible.