52 citations · 195 across the 33 of their papers we have counts for
Showing 2017 · math.APShow all
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math.AP2017★ 1 cited
Modulational instability in the full-dispersion Camassa-Holm equation
Vera Mikyoung Hur, Ashish K. Pandey
We determine the stability and instability of a sufficiently small and periodic traveling wave to long wavelength perturbations, for a nonlinear dispersive equation which extends a…
math.AP2017★ 1 cited
Norm inflation for equations of KdV type with fractional dispersion
Vera Mikyoung Hur
We demonstrate norm inflation for nonlinear nonlocal equations, which extend the Korteweg-de Vries equation to permit fractional dispersion, in the periodic and non-periodic settin…
math.AP2017
Shallow water models with constant vorticity
Vera Mikyoung Hur
We modify the nonlinear shallow water equations, the Korteweg-de Vries equation, and the Whitham equation, to permit constant vorticity, and examine wave breaking, or the lack ther…