Introduces arbitrary-genus dark soliton gas potentials in defocusing NLS hydrodynamics, derives large-space asymptotics and long-time genus-reduction cascade via Deift-Zhou steepest descent, with numerical validation.
Zhu: Direct scattering for the KdV equation with a step-like finite-gap potential: a Riemann-Hilbert ap- proach
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Arbitrary-genus dark soliton gases in the defocusing nonlinear Schr\"{o}dinger hydrodynamics
Introduces arbitrary-genus dark soliton gas potentials in defocusing NLS hydrodynamics, derives large-space asymptotics and long-time genus-reduction cascade via Deift-Zhou steepest descent, with numerical validation.