Abstract
This article concerns a class of beam equations with damping on rectangular tori. When the generators satisfy certain relationship, by excluding some values of two model parameters, we prove that such models admit small amplitude quasi‐periodic traveling wave solutions with two frequencies, which are continuations of two rotating wave solutions with one frequency. The result holds not only for a rational torus but also for an irrational one. The proof is mainly based on a Lyapunov–Schmidt reduction together with the implicit function theorem.
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.
