Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Goksu Oruc"'
Publikováno v:
Studies in Applied Mathematics. 148:62-98
The existence, uniqueness and stability of periodic traveling waves for the fractional Benjamin-Bona-Mahony equation is considered. In our approach, we give sufficient conditions to prove a uniqueness result for the single-lobe solution obtained by a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c3c36f6766d7fbb87027d0dd9b9e33f
https://doi.org/10.1111/sapm.12428
https://doi.org/10.1111/sapm.12428
Autor:
Goksu Oruc, Gulcin M. Muslu
Publikováno v:
Nonlinear Analysis: Real World Applications. 47:436-445
This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are provided by using the concavi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b9c6dfc5162e391235ef8fdc2253f10
https://doi.org/10.1016/j.nonrwa.2018.11.012
https://doi.org/10.1016/j.nonrwa.2018.11.012
In this paper we establish a rigorous spectral stability analysis for solitary waves associated to a generalized fractional Benjamin-Bona-Mahony type equation. Besides the well known smooth and positive solitary wave with large wave speed, we present
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25e11e335b594f7e007b2d7dec3fc939
Publikováno v:
Numerical Methods for Partial Differential Equations. 35:993-1007
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2a2e41d3b811c4888cd36cdcf5804f5
https://doi.org/10.1002/num.22335
https://doi.org/10.1002/num.22335
The generalized fractional Benjamin-Bona-Mahony (gfBBM) equation models the propagation of small amplitude long unidirectional waves in a nonlocally and nonlinearly elastic medium. The equation involves two fractional terms unlike the well-known fBBM
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e250de4624f4e661e4cc3033102bd21
Publikováno v:
AIP Conference Proceedings.
We study the small dispersion limit for the three coupled long wave-short wave interaction (LSI) equations, numerically. For this aim, a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b3a78946b668c057b6660476340bb70
https://doi.org/10.1063/1.4992735
https://doi.org/10.1063/1.4992735
Muslu, Gulcin Mihriye/0000-0003-2268-3992 WOS:000390509400021 In this paper, we consider the higher order Boussinesq (HBq) equation which models the bi-directional propagation of longitudinal waves in various continuous media. The equation contains t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb0ee402e33fa64b4a150b5924f0925a
http://arxiv.org/abs/1501.03928
http://arxiv.org/abs/1501.03928