388 citations · 3.3k across the 78 of their papers we have counts for
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Observation of dispersive shock waves, solitons, and their interactions in viscous fluid conduits
Michelle D. Maiden, Nicholas K. Lowman, Dalton V. Anderson +2
Dispersive shock waves and solitons are fundamental nonlinear excitations in dispersive media, but dispersive shock wave studies to date have been severely constrained. Here we rep…
Perturbation Theory for Propagating Magnetic Droplet Solitons
L. D. Bookman, M. A. Hoefer
Droplet solitons are a strongly nonlinear, inherently dynamic structure in the magnetization of ferromagnets, balancing dispersion (exchange energy) with focusing nonlinearity (str…
Dispersive and diffusive-dispersive shock waves for nonconvex conservation laws
G. A. El, M. A. Hoefer, M. Shearer
We consider two physically and mathematically distinct regularization mechanisms of scalar hyperbolic conservation laws. When the flux is convex, the combination of diffusion and d…