Dispersive shock waves emerge from piecewise smooth initial data in periodic-potential NLS systems, reduced by tight-binding to discrete NLS Riemann problems whose non-convex hydrodynamics are analyzed via Whitham modulation theory.
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Dispersive shock waves in periodic lattices
Dispersive shock waves emerge from piecewise smooth initial data in periodic-potential NLS systems, reduced by tight-binding to discrete NLS Riemann problems whose non-convex hydrodynamics are analyzed via Whitham modulation theory.