Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Handan Borluk"'
Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation
Autor:
Gabriel E. Bittencourt Moraes, Handan Borluk, Guilherme de Loreno, Gulcin M. Muslu, Fábio Natali
Publikováno v:
Journal of Differential Equations. 341:263-291
In this paper, the existence and orbital stability of the periodic standing waves solutions for the nonlinear fractional Schrodinger (fNLS) equation with cubic nonlinearity is studied. The existence is determined by using a minimizing constrained pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8de718d05ccf13b823d95d9ca6f1ea07
https://doi.org/10.1016/j.jde.2022.09.015
https://doi.org/10.1016/j.jde.2022.09.015
Publikováno v:
Studies in Applied Mathematics. 149:95-123
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d061612f8635d36bea2874dc974e477c
https://doi.org/10.1111/sapm.12494
https://doi.org/10.1111/sapm.12494
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
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
Autor:
Gulcin M. Muslu, Handan Borluk
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 97:1600-1610
A class of nonlocal nonlinear wave equation arises from the modeling of a one dimensional motion in a nonlinearly, nonlocally elastic medium. The equation involves a kernel function with nonnegative Fourier transform. We discretize the equation by us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be4fb2cab18f9fafb28bd758657e419e
https://doi.org/10.1002/zamm.201600023
https://doi.org/10.1002/zamm.201600023
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:
Journal of Computational and Applied Mathematics. 296:293-302
WOS:000367107200021 The object of this article is the comparison of numerical solutions of the so-called Whitham equation to numerical approximations of solutions of the full Euler free-surface water-wave problem. The Whitham equation eta(t) + 3/2 c(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a08c39df01b3a498424e8b1ab2a0a3d
https://doi.org/10.1016/j.cam.2015.09.018
https://doi.org/10.1016/j.cam.2015.09.018
Autor:
Handan Borluk, Gulcin M. Muslu
Publikováno v:
Numerical Methods for Partial Differential Equations. 31:995-1008
In this article, we propose a Fourier pseudospectral method for solving the generalized improved Boussinesq equation. We prove the convergence of the semi-discrete scheme in the energy space. For various power nonlinearities, we consider three test p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3db3345fc2fcb3cb461c5b8163f9e0f
https://doi.org/10.1002/num.21928
https://doi.org/10.1002/num.21928
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
Autor:
Handan Borluk, Henrik Kalisch
The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field in the fluid below a given
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a43c9b4114f84d444edb3d0df1290f25
https://hdl.handle.net/11729/431
https://hdl.handle.net/11729/431