The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein–Gordon systems is revisited. The ...

El objeto de estudio de este trabajo es la ecuación de Schrödinger independiente del tiempo que surge de considerar un ...

En el presente trabajo, nuestro objetivo es estudiar la estabilidad de ciertas soluciones estacionarias de una determinada ...

La situación sanitaria que nos ha tocado vivir ha modificado radicalmente nuestra vida diaria, esencialmente en nuestra ...

El rozamiento es un fenómeno que si bien en la vida diaria pasa desapercibido, en la ingeniería es crucial. Desde elevar ...

A theoretical study of the rotational dynamics of a linear polar molecule in a two-color nonresonant cw laser field is ...

El objetivo principal de este trabajo es el estudio de la ecuación no lineal de Schródinger (NLS) y de sus propiedades. ...

The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter κ is analyzed, when ...

We describe the field-dressed rotational dynamics of a linear polar molecule in a a non-resonant two-color cw laser field, and analyze the orientation and alignment as the field parameters are varied.

En este trabajo se analiza en detalle el efecto de la fricción de Stokes (lineal) y de la fricción seca (no lineal) en el ...

Two exact stationary soliton solutions are found in the parametrically driven and damped nonlinear Dirac equation. The ...

The generation of net solitonmotion induced by randomtransitions among N symmetric phase-shifted sine-Gordon potentials ...

Let CsT, with T > 0, be the set of continuous, T-periodic functions f : R → Rs, and let Γ : CsT → R be a real functional on CsT.

We consider the massless nonlinear Dirac (NLD) equation in 1+1 dimension with scalar­ scalar self-interaction g² ̸ 2 (ψ ...

We discuss the effect of small perturbation on nodeless solutions of the nonlinear Schrödinger equation in 1 + 1 dimensions ...

We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction in the presence of ...

The generalized traveling wave method (GTWM) is applied to the nonlinear Schrödinger (NLS) equation with general perturbations ...

We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction in the presence of ...

The ratchet effect of a sine-Gordon kink is investigated in the absence of any external force while the symmetry of the ...

We investigate the dynamics of a kink in a damped parametrically driven nonlinear Klein-Gordon equation.We show by using ...

In this work, the ratchet dynamics of Brownian particles driven by an external sinusoidal (harmonic) force is investigated. ...

A stability criterion for solitons of the driven nonlinear Schrödinger equation (NLSE) has been conjectured. The criterion ...

Dynamical systems often contain oscillatory forces or depend on periodic potentials. Time or space periodicity is reflected ...

A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both ...

We consider the nonlinear Dirac equation in 1 + 1 dimension with scalar-scalar self interaction g2κ+1(Ψ¯¯¯Ψ)κ+1 and with ...

A collective coordinate theory is developed for soliton ratchets in the damped discrete sine-Gordon model driven by a ...

A recent paper [P. J. Martínez and R. Chacón, Phys. Rev. E 87, 062114 (2013)] presents numerical simulations on a system ...

Ratchets are devices that are able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. ...

We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation with an external time-independent force ...

We study the dynamic self-assembly and propulsion of a ribbon formed from paramagnetic colloids in a dynamic magnetic ...

We study spectral properties of irreducible tridiagonal k−Toeplitz matrices and certain matrices which arise as perturbations of them.

We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalar-scalar self-interaction g2κ+1(Ψ¯¯¯Ψ)κ+1 ...

We consider the nonlinear Schrödinger equation (NLSE) in 1+1 dimension with scalar-scalar self-interaction g2κ+1(ψ☆ψ)κ+1 ...

We investigate the dynamics of traveling oscillating solitons of the cubic nonlinear Schrödinger (NLS) equation under an ...

We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic ...

Equations describing the evolution of particles, solitons, or localized structures, driven by a zero-average, periodic, ...

Equations describing the evolution of particles, solitons, or localized structures, driven by a zero-average, periodic, ...

The generalized traveling wave method (GTWM) is developed for the nonlinear Schrödinger equation (NLSE) with general ...

We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation (NLSE) with the following perturbations: ...

This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the ...

We study the soliton ratchets in the damped sine-Gordon equation with periodic nonsinusoidal, additive, and parametric ...

In this reply to the comment by C. R. Willis, we show, by quoting his own statements, that the simulations reported in his ...

Using a general procedure for finding recurrence relations for hypergeometric functions and polynomials introduced by ...

We study in detail the damped sine-Gordon equation, driven by two ac forces (one is added as a parametric perturbation and ...

In this work we analyze the possibility that the soliton dynamics in a simple nonlinear model allows functionally relevant ...

We study the effects on the dynamics of kinks due to expansions and contractions of the space. We show that the propagation ...

We study in detail the ratchetlike dynamics of topological solitons in homogeneous nonlinear Klein-Gordon systems driven ...

In this paper we use the analytic theory for 2 and 3-Toeplitz matrices to obtain the explicit expressions for the eigenvalues, ...

Very recently Willis et al. [Phys. Rev. E 69, 056612 (2004)] have used a collective variable theory to explain the appearance ...

Entender el efecto trinquete inducido por la simetría temporal de fuerzas es una cuestión fundamental que ha permanecido ...

We use soliton perturbation theory and collective coordinate ansatz to investigate the mechanism of soliton ratchets in a ...

We develop an alternative approach to study the effect of the generic perturbation (in addition to explicitly considering ...

The aim of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or ...

We study directed energy transport in homogeneous nonlinear extended systems in the presence of homogeneous ac forces and ...

The mechanism underlying the soliton ratchet, both in absence and in presence of noise, is investigated. We show the ...

We study the resonances in the sine-Gordon equation driven by an ac force using a linear perturbation theory. We show that ...

We study the dynamics of kinks in the φ4 model subjected to a parametric ac force, both with and without damping, as a ...

We study the dynamics of f 4 kinks perturbed by an ac force, both with and without damping. We address this issue by using ...

We study whether or not sine-Gordon kinks exhibit internal modes or ‘‘quasimodes.’’ By considering the response of the ...

We investigate the nonparametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode ...

In this paper we present a simple recurrent algorithm for solving the linearization problem involving some families of q-polynomials in the exponential lattice x(s)=c1qs+c3. Some simple examples are worked out in detail.

We study sine-Gordon kink diffusion at finite temperature in the overdamped limit. By means of a general perturbative ...

We investigate the dependence of dc soliton motion sustained by pure ac driving in the sine-Gordon model on various parameter ...