Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155258 | Communications in Nonlinear Science and Numerical Simulation | 2016 | 14 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Dianlou Du, Xue Geng,