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Artículo
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity
(IOP Publishing, 2020-01)
The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter κ is analyzed, when the external force is periodic in space and given by f(x) = r cos(Kx), both numerically and in a ...
Artículo
Comment on “Soliton ratchets induced by excitation of internal modes”
(2005)
Very recently Willis et al. [Phys. Rev. E 69, 056612 (2004)] have used a collective variable theory to explain the appearance of a nonzero energy current in an ac-driven, damped sine-Gordon equation. In this Comment, we ...
Libro
Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics
(NoLineal 2016Juan F.R. Archilla, 2016-06-07)
Artículo
Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation
(AIP Publishing, 2019)
Two exact stationary soliton solutions are found in the parametrically driven and damped nonlinear Dirac equation. The parametric force considered is a complex ac force. The solutions appear when their frequencies are ...
Artículo
Kink ratchet induced by a time-dependent symmetric field potential
(American Physical Society, 2016)
The ratchet effect of a sine-Gordon kink is investigated in the absence of any external force while the symmetry of the field potential at every time instant is maintained. The directed motion appears by a time shift of ...
Artículo
Analytical approach to soliton ratchets in asymmetric potentials
(2005)
We use soliton perturbation theory and collective coordinate ansatz to investigate the mechanism of soliton ratchets in a driven and damped asymmetric double sine-Gordon equation. We show that, at the second order of the ...
Artículo
Soliton ratchet induced by random transitions among symmetric sine-Gordon potentials
(AIP Publishing, 2019)
The generation of net solitonmotion induced by randomtransitions among N symmetric phase-shifted sine-Gordon potentials is investigated, in the absence of any external force and without any thermal noise. The phase shifts ...
Artículo
Collective coordinates theory for discrete soliton ratchets in the sine-Gordon model
(American Physical Society, 2014)
A collective coordinate theory is developed for soliton ratchets in the damped discrete sine-Gordon model driven by a biharmonic force. An ansatz with two collective coordinates, namely the center and the width of the ...