Zobrazeno 1 - 10
of 66
pro vyhledávání: '"MUSLU, Gulcin M."'
In this paper, we present new results regarding the orbital stability of solitary standing waves for the general fourth-order Schr\"odinger equation with mixed dispersion. The existence of solitary waves can be determined both as minimizers of a cons
Externí odkaz:
http://arxiv.org/abs/2405.09268
In this paper, we determine the spectral instability of periodic odd waves for the defocusing fractional cubic nonlinear Schr\"odinger equation. Our approach is based on periodic perturbations that have the same period as the standing wave solution,
Externí odkaz:
http://arxiv.org/abs/2310.08059
Autor:
Esfahani, Amin, Muslu, Gulcin M.
In this paper, we study the generalized Boussinesq equation as a model for the water wave problem with surface tension. Initially, we investigate the initial value problem within Sobolev spaces, deriving conditions under which solutions are either gl
Externí odkaz:
http://arxiv.org/abs/2211.11706
Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrodinger equation
Autor:
Moraes, Gabriel E. Bittencourt, Borluk, Handan, de Loreno, Guilherme, Muslu, Gulcin M., Natali, Fabio
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:
http://arxiv.org/abs/2201.08165
In this paper, we delve into the study of the generalized KP equation, which incorporates double-power nonlinearities. Our investigation covers various aspects, including the existence of solitary waves, their nonlinear stability, and instability. No
Externí odkaz:
http://arxiv.org/abs/2112.00316
Autor:
Durán, Angel, Muslu, Gulcin M.
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation October 2024 137
Publikováno v:
Wave Motion 109 (2022) 102848
In this paper, we first consider the Rosenau equation with the quadratic nonlinearity and identify its Lie symmetry algebra. We obtain reductions of the equation to ODEs, and find periodic analytical solutions in terms of elliptic functions. Then, co
Externí odkaz:
http://arxiv.org/abs/2109.14484
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation June 2024 133
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:
http://arxiv.org/abs/2105.05279
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:
http://arxiv.org/abs/2104.00400