4 citations · 8 across the 7 of their papers we have counts for
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math.AP2017★ 3 cited
Comparison of modulational instabilities in full-dispersion shallow water models
Ashish Kumar Pandey
We study the modulational instability of a shallow water model, with and without surface tension, which generalizes the Whitham equation to include bi-directional propagation. With…
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…