In this note, we review stability properties in energy spaces of three important nonlinear Schrodinger breathers: Peregrine, Kuznetsov-Ma, and Akhmediev. More precisely, we show that these breathers are unstable according ...

In this paper we describe stability properties of the Sine-Gordon breather solution. These properties are first described by suitable variational elliptic equations, which also implies that the stability problem reduces ...

We study the periodic modified KdV equation, where a periodic in space and time breather solution is known from the work of Kevrekidis et al. [19]. We show that these breathers satisfy a suitable elliptic equation, and we ...

We consider the focusing Nonlinear Schrödinger equation posed on the one dimensional line, with nonzero background condition at spatial infinity, given by a homogeneous plane wave. For this problem of physical interest, ...

In this note, we give a rigorous proof that the NLS periodic Akhmediev breather is unstable. The proof follows the ideas in Muñoz (Proyecciones (Antofagasta) 36(4):653–683, 2017), in the sense that a suitable modification ...

Objectives. Analyze the DNA dynamics in PeyrardBishop-Dauxois model (PBD) with different control parameters using its energy center of the mobile breather. Materials and methods. We used the Peyrard-Bishop-Dauxois mathematical ...

We study the periodic modified KdV equation, where a periodic in space and time breather solution is known from the work of Kevrekidis et al. [19]. We show that these breathers satisfy a suitable elliptic equation, and we ...

We present results on breather solutions of a discrete nonlinear Schrödinger equation with a cubic Hartree-type nonlinearity that models laser light propagation in waveguide arrays that use a nematic liquid crystal substratum. ...

A dinâmica do DNA apresenta movimentos de grande amplitude e localizados ao longo da cadeia que, mesmo na sua temperatura biológica, são capazes de abrir um único par de bases. Com o objetivo de compreender essa dinâmica, ...