A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is
This paper dealt with the existence of periodic waves for a perturbed quintic BBM equation by using geometric singular perturbation theory. By analyzing the perturbations of the Hamiltonian vector field with a hyperelliptic Hamiltonian of degree six, we proved that periodic wave solutions persist for sufficiently small perturbation parameter. It is also proved that the wave speed c 0 (h) is decreasing on h by analyzing the ratio of Abelian integrals, where h is the energy level value. Moreover,doi:10.3934/dcds.2020198 fatcat:2brc6x63cbcdrfg7l43ky4onxa