Action-angle variables for the Lie Poisson Hamiltonian systems associated with Boussinesq equation

作者：Du, Dianlou; Geng, Xue^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2016, 30(1-3): 168-181.

DOI：10.1016/j.cnsns.2015.06.020

• Separation of variables
• Boussinesq equation
• Non-hyperelliptic spectral curve
• Action-angle variables

Two finite-dimensional Lie Poisson Hamiltonian systems associated with Boussinesq equation are presented. The action-angle variables in the case of systems with non-hyperelliptic spectral curves are obtained by Sklyanin's method of separation of variables. Moreover, with the help of Hamilton-Jacobi theory for the generating functions of conserved integrals, the Jacobi inversion problems related to the Lie Poisson Hamiltonian systems and Boussinesq equation are discussed.

• 出版日期2016-1
• 单位衢州学院; 郑州大学