Approximation of Calogero-Moser lattices by Benjamin-Ono equations
J. Douglas Wright
TL;DR
This paper rigorously demonstrates that the infinite Calogero-Moser lattice can be effectively approximated by solutions to the Benjamin-Ono equation in the long-wave limit, bridging integrable systems and nonlinear wave equations.
Contribution
It provides a rigorous mathematical validation of the approximation of Calogero-Moser lattices by Benjamin-Ono solutions in a specific asymptotic regime.
Findings
Calogero-Moser lattice approximated by Benjamin-Ono solutions
Validation in the long-wave limit
Bridges integrable systems with nonlinear wave equations
Abstract
We provide a rigorous validation that the infinite Calogero-Moser lattice can be well-approximated by solutions of the Benjamin-Ono equation in a long-wave limit.
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
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Nonlinear Photonic Systems