2 papers
math.AP2021
On the stability of the compacton waves for the degenerate KdV and NLS models
Sevdzhan Hakkaev, Abba Ramadan, Atanas G. Stefanov
In this paper, we consider the degenerate semi-linear Schrödinger and Korteweg-deVries equations in one spatial dimension. We construct special solutions of the two models, namely…
math.AP2020
On the standing waves of the Schroedinger equation with concentrated nonlinearity
Abba Ramadan, Atanas G. Stefanov
We study the concentrated NLS on , with power non-linearities, driven by the fractional Laplacian, . We construct the solitary waves explicitl…