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Artículo
Speed-of-light pulses in a massless nonlinear dirac equation
(American Physical Society, 2019)
In this work, we explore a massless nonlinear Dirac equation, i.e., a nonlinear Weyl equation. We study the dynamics of its pulse solutions and find that a localized one-hump initial condition splits into a localized two ...
Artículo
Paramagnetic colloidal ribbons in a precessing magnetic field
(American Physical Society, 2015)
We investigate the dynamics of a kink in a damped parametrically driven nonlinear Klein-Gordon equation.We show by using a method of averaging that, in the high-frequency limit, the kinkmoves in an effective potential ...
Artículo
Nonlinear Schrödinger solitons oscillate under a constant external force
(2013)
We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation with an external time-independent force of the form f(x)=rexp(−iKx). Here the solitons travel with an oscillating velocity and all other ...
Artículo
Propulsion efficiency of a dynamic self-assembled helical ribbon
(2013)
We study the dynamic self-assembly and propulsion of a ribbon formed from paramagnetic colloids in a dynamic magnetic field. The sedimented ribbon assembles due to time averaged dipolar interactions between the beads. The ...
Artículo
Ratchet effect in a damped sine-Gordon system with additive and parametric ac driving forces
(2006)
We study in detail the damped sine-Gordon equation, driven by two ac forces (one is added as a parametric perturbation and the other one in an additive way), as an example of soliton ratchets. By means of a collective ...
Artículo
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces
(IOP, 2016)
We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction in the presence of external forces as well as damping of the form f (x, t) - ιμγͦψ, where both f and ψ are two-component ...
Artículo
Sine-Gordon ratchets with general periodic, additive, and parametric driving forces
(2007)
We study the soliton ratchets in the damped sine-Gordon equation with periodic nonsinusoidal, additive, and parametric driving forces. By means of symmetry analysis of this system we show that the net motion of the kink ...
Artículo
Reply to “Comment on ‘Existence of internal modes of sine-Gordon kinks’ ”
(2006)
In this reply to the comment by C. R. Willis, we show, by quoting his own statements, that the simulations reported in his original work with Boesch [Phys. Rev. B 42, 2290 (1990)] were done for kinks with nonzero initial ...
Artículo
Speed-of-light pulses in the massless nonlinear Dirac equation with a potential
(American Physical Society, 2017)
We consider the massless nonlinear Dirac (NLD) equation in 1+1 dimension with scalar scalar self-interaction g² ̸ 2 (ψ ψ)² in the presence of three externa! electromagnetic real potentials V(x), a potential barrier, a ...
Artículo
Internal Mode Mechanism for Collective Energy Transport in Extended Systems
(2003)
We study directed energy transport in homogeneous nonlinear extended systems in the presence of homogeneous ac forces and dissipation. We show that the mechanism responsible for unidirectional motion of topological excitations ...