18 citations · 20 across the 3 of their papers we have counts for
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math.AP2023★ 2 cited
On the precise cusped behaviour of extreme solutions to Whitham-type equations
Mats Ehrnström, Ola I. H. Mæhlen, Kristoffer Varholm
We prove exact leading-order asymptotic behaviour at the origin for nontrivial solutions of two families of nonlocal equations. The equations investigated include those satisfied b…
math.AP2021
Existence of Davey--Stewartson type solitary waves for the fully dispersive Kadomtsev--Petviashvilii equation
Mats Ehrnström, Mark D. Groves, Dag Nilsson
We prove existence of small-amplitude modulated solitary waves for the full-dispersion Kadomtsev--Petviashvilii (FDKP) equation with weak surface tension. The resulting waves are s…
math.AP2018★ 18 cited
Enhanced existence time of solutions to the fractional Korteweg-de Vries equation
Mats Ehrnström, Yuexun Wang
We consider the fractional Korteweg-de Vries equation in the range of , . Using basic Fourier techniques in combination with the modif…