Abstract
In this paper, we prove that the KAM tori for the generalized Boussinesq equation with the external parameters, which generates an infinite dimensional Hamiltonian system, are long-time stable. Precisely, we prove that the solutions with initial datum in the δ-neighborhood of KAM torus still stay close to the KAM torus for |t|≤δ−M with M≥1. The proof is based on constructing a partial normal form of higher order and showing that the p-tame property for the Hamiltonian vector field persists after the changes of variables of the KAM scheme and under normal form iterative procedure.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
