Coherent structures in long range FPUT lattices, Part I: Solitary Waves
J. Douglas Wright, Udoh Akpan
TL;DR
This paper investigates long-range FPUT lattices, establishing conditions for the existence of solitary wave solutions in systems where particles interact over arbitrary distances.
Contribution
It introduces new sufficient conditions for constructing solitary waves in long-range FPUT lattices, extending classical models to include arbitrarily long particle interactions.
Findings
Derived conditions for solitary wave existence
Extended FPUT models to long-range interactions
Provided a framework for future analytical and numerical studies
Abstract
We consider long range variants of Fermi-Pasta-Ulam-Tsingou lattice and in particular allow for particles to interact over arbitrarily long distances. We develop sufficient conditions which allow for the construction of solitary wave solutions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Fiber Optic Sensors · Nonlinear Photonic Systems · Advanced Fiber Laser Technologies