Poisson structure on the phase space associated to the hamiltonian dynamics of coupled Korteweg-de Vries type equations

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

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: Hamiltonian dynamics;    Hamiltonian structures;    Korteweg-de Vries;    Poisson brackets;    Poisson structure;    Stratified liquids;    Strong interaction;    Two layer fluid;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012034/pdf
DOI  :  10.1088/1742-6596/574/1/012034

来源: IOP

【 摘 要 】

We present the hamiltonian structures for a wide class of coupled Korteweg-de Vries systems, including the Gear and Grimshaw system that models the strong interaction of internal waves in a stratified liquid and the system of Lou, Tong, Hu and Tang that describes a two layer fluid model. Among the hamiltonian structures of these systems we found new Poisson brackets which define consistent algebras of observables.