The paper proves the constant-curvature nonlocal Hamiltonian conditions announced in earlier work, classifies the separable case, and gives new KdV, additive-separable, and Lieb-Liniger examples.
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Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions
The paper proves the constant-curvature nonlocal Hamiltonian conditions announced in earlier work, classifies the separable case, and gives new KdV, additive-separable, and Lieb-Liniger examples.