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Approximation of Calogero–Moser Lattices by Benjamin–Ono Equations
.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.KeywordsCalogero–MoserBenjamin–Onofractional KdVFPUT latticesmodulation equationsapproximation theoryMSC codes70F4535Q5335Q7034A33