Mats Ehrnström

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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

Enhanced existence time of solutions to the fractional Korteweg-de Vries equation

Mats Ehrnström, Yuexun Wang

We consider the fractional Korteweg-de Vries equation $u_{t} + u u_{x} - ∣ D ∣^{α} u_{x} = 0$ in the range of $- 1 < α < 1$ , $α \neq = 0$ . Using basic Fourier techniques in combination with the modif…