2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2024★ 1 cited
Exact periodic solutions of the generalized Constantin-Lax-Majda equation with dissipation
Denis A. Silantyev, Pavel M. Lushnikov, Michael Siegel +1
We present exact pole dynamics solutions to the generalized Constantin-Lax-Majda (gCLM) equation in a periodic geometry with dissipation , where its spatial Fourier transform…
math.AP2024★ 1 cited
Asymptotics of two-dimensional hydroelastic waves: The zero mass, zero bending limit
Shunlian Liu, David M. Ambrose
We consider two-dimensional hydroelastic waves, in which a free fluid surface separates two fluids of infinite vertical extent. Elastic effects are accounted for at the interface,…
nlin.SI2008★ 2 cited
Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves
David M. Ambrose, Jon Wilkening
We classify all bifurcations from traveling waves to non-trivial time-periodic solutions of the Benjamin-Ono equation that are predicted by linearization. We use a spectrally accur…