The National Natural Science Foundation of China(No.11301072);the Natural Science Foundation of Jiangsu Province(No.BK20131285);the Research and Innovation Project for College Graduates of Jiangsu Province(No.CXZZ12-0083,CXLX13-074)
One-dimensional generalized Boussinesq equation u tt-u xx+(f(u)+u xx)xx=0.with periodic boundary condition is considered, where f(u) = u3. First, the above equation is written as a Hamiltonian system, and then...