Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Natali Fabio"'
Autor:
Natali, Fabio
In this paper, we consider the existence and spectral stability of periodic traveling wave solutions for the regularized Camassa-Holm equation. For the existence of periodic waves, we employ tools from bifurcation theory to construct waves with the z
Externí odkaz:
http://arxiv.org/abs/2406.00433
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
Transverse instability of periodic standing waves for the generalized nonlinear Schrodinger equation
In this paper, we determine the transverse instability of periodic standing wave solutions for the generalized Schr\"odinger equation with fractional power nonlinearity. The existence of periodic waves is determined by using a constrained minimizatio
Externí odkaz:
http://arxiv.org/abs/2310.03467
Autor:
Natali, Fábio, de Andrade, Thiago P.
In this paper, we investigate the spectral stability of periodic traveling waves for a cubic-quintic and double dispersion equation. Using the quadrature method we find explict periodic waves and we also present a characterization for all positive an
Externí odkaz:
http://arxiv.org/abs/2307.05774
Autor:
Angulo Pava Jaime, Natali Fabio
Publikováno v:
Advances in Nonlinear Analysis, Vol 3, Iss 2, Pp 95-123 (2014)
We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system. An application of this approach is
Externí odkaz:
https://doaj.org/article/6394bb56821942539637e468cc79580a
Autor:
Natali, Fabio
In this paper, we determine the transversal instability of periodic traveling wave solutions of the generalized Zakharov-Kuznetsov equation in two space dimensions. Using an adaptation of the arguments in \cite{nikolay} in the periodic context, it is
Externí odkaz:
http://arxiv.org/abs/2303.12504
Results concerning the existence and spectral stability and instability of multiple periodic wave solutions for the nonlinear Schr\"odinger system with \textit{dnoidal} and \textit{cnoidal} profile will be determined in this manuscript. The spectral
Externí odkaz:
http://arxiv.org/abs/2212.07694
Autor:
Natali, Fábio, Alves, Giovana
In this paper, we establish the monotonicity of the period map in terms of the energy levels for certain periodic solutions of the equation $-\varphi''+\varphi-\varphi^{k}=0$, where $k>1$ is a real number. We present a new approach to demonstrate thi
Externí odkaz:
http://arxiv.org/abs/2212.07561
New results concerning the orbital stability of periodic traveling wave solutions for the "abcd" Boussinesq model will be shown in this manuscript. For the existence of solutions, we use basic tools of ordinary differential equations to show that the
Externí odkaz:
http://arxiv.org/abs/2205.01439