Supersymmetric extension of a coupled Korteweg-de Vries system

[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.

[发布机构] 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

[效力级别] 数学

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