Derives long-time asymptotics of a full arbitrary-genus dark soliton gas for defocusing NLS, yielding an N-dimensional Riemann-theta finite-gap solution with O(t^{-1}) or O(t^{-1/2}) errors in different sectors.
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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.
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Long-time asymptotics of a full arbitrary-genus dark soliton gas for the defocusing nonlinear Schrodinger equation
Derives long-time asymptotics of a full arbitrary-genus dark soliton gas for defocusing NLS, yielding an N-dimensional Riemann-theta finite-gap solution with O(t^{-1}) or O(t^{-1/2}) errors in different sectors.
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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.