2 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
Generic regularity and Lipschitz metric for a two-component Novikov system
Kenneth H. Karlsen, Yan Rybalko
We investigate the Cauchy problem for a two-component generalization of the Novikov equation with cubic nonlinearity -- an integrable system whose solutions may develop strong nonl…
On the well-posedness of the Cauchy problem for the two-component peakon system in
Kenneth H. Karlsen, Yan Rybalko
This study focuses on the Cauchy problem associated with the two-component peakon system featuring a cubic nonlinearity, constrained to the class $(m,n)\in C^{k}(\mathbb{R}) \cap W…
On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system
Kenneth Karlsen, Yan Rybalko
We investigate the Cauchy problem for a nonlocal (two-place) FORQ equation. By interpreting this equation as a special case of a two-component peakon system (exhibiting a cubic non…
A convergent finite difference method for a nonlinear variational wave equation
H. Holden, K. H. Karlsen, N. H. Risebro
We establish rigorously convergence of a semi-discrete upwind scheme for the nonlinear variational wave equation with and $u_t|_{t=0}…