Poisson structure and stability analysis of a coupled system arising from the supersymmetric breaking of Super KdV

21st International Conference on Integrable Systems and Quantum Symmetries

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

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: Clifford algebra;    Constraint analysis;    Coupled systems;    Grassmann algebra;    KdV equations;    Poisson structure;    Soliton solutions;    Stability analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012030/pdf
DOI  :  10.1088/1742-6596/474/1/012030

来源: IOP

【 摘 要 】

The Poisson structure of a coupled system arising from a supersymmetric breaking of N=1 Super KdV equations is obtained. The supersymmetric breaking is implemented by introducing a Clifford algebra instead of a Grassmann algebra. The Poisson structure follows from the Dirac brackets obtained by the constraint analysis of the hamiltonian of the system. The coupled system has multisolitonic solutions. We show that the one soliton solutions are Liapunov stable.