most citedGlobal paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves

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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,…