Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Nonlinearity"
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A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system
(Peer reviewed; Journal article, 2021)We define a kinetic and a potential energy such that the principle of stationary action from Lagrangian mechanics yields a Camassa–Holm system (2CH) as the governing equations. After discretizing these energies, we use the ... -
Small-amplitude fully localised solitary waves for the full-dispersion Kadomtsev-Petviashvili equation
(Journal article; Peer reviewed, 2018)The KP-I equation arises as a weakly nonlinear model equation for gravity-capillary waves with strong surface tension (Bond number ). This equation admits—as an explicit solution—a 'fully localised' or 'lump' solitary ... -
Solitary waves in dispersive evolution equations of Whitham type with nonlinearities of mild regularity
(Journal article; Peer reviewed, 2020)We show existence of small solitary and periodic traveling-wave solutions in Sobolev spaces Hs, s>0, to a class of nonlinear, dispersive evolution equations of the formut+(Lu+n(u))x=0,where the dispersion ... -
Symmetric solutions of evolutionary partial differential equations
(Journal article; Peer reviewed, 2017)We show that for a large class of evolutionary nonlinear and nonlocal partial differential equations, symmetry of solutions implies very restrictive properties of the solutions and symmetry axes. These restrictions are ...