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pro vyhledávání: '"Abba Ramadan"'
Autor:
Abba Ramadan, Atanas Stefanov
Publikováno v:
Analysis and Mathematical Physics. 11
We study the concentrated NLS on $${{\mathbf {R}}}^n$$ , with power non-linearities, driven by the fractional Laplacian, $$(-\Delta )^s, s>\frac{n}{2}$$ . We construct the solitary waves explicitly, in an optimal range of the parameters, so that they
In this paper, we consider the degenerate semi-linear Schrödinger and Korteweg-de Vries equations in one spatial dimension. We construct special solutions of the two models, namely standing wave solutions of NLS and traveling waves, which turn out t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::796c5117214e8924ca1bdea3212983fa
Autor:
Atanas Stefanov, Abba Ramadan
Publikováno v:
Physica D: Nonlinear Phenomena. 414:132691
In this paper, we identify necessary and sufficient conditions for the existence of appropriately localized waves for the inhomogeneous semi-linear Schrodinger equation driven by the subLaplacian dispersion operators ( − Δ ) s , 0 s ≤ 1 . We con