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Mostrando ítems 41-50 de 52
Artículo
Anomalous Resonance Phenomena of Solitary Waves with Internal Modes
(2000)
We investigate the nonparametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency Ωi. We show that the strongest resonance arises when the driving frequency δ=Ωi/2, ...
Artículo
Generalized traveling-wave method, variational approach, and modified conserved quantities for the perturbed nonlinear Schrödinger equation.
(2010)
The generalized traveling wave method (GTWM) is developed for the nonlinear Schrödinger equation (NLSE) with general perturbations in order to obtain the equations of motion for an arbitrary number of collective coordinates. ...
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
Stability of solitary waves in nonlinear Klein-Gordon equations
(IOP Publishing, 2022-11)
The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein–Gordon systems is revisited. The linearized equation describing small deviations around the static solution leads to a Sturm–Liouville ...
Artículo
Forced nonlinear Schrödinger equation with arbitrary nonlinearity
(2012)
We consider the nonlinear Schrödinger equation (NLSE) in 1+1 dimension with scalar-scalar self-interaction g2κ+1(ψ☆ψ)κ+1 in the presence of the external forcing terms of the form re−i(kx+θ)−δψ. We find new exact solutions ...
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 ...
Artículo
General approach for dealing with dynamical systems with spatiotemporal periodicities
(American Physical Society, 2015)
Dynamical systems often contain oscillatory forces or depend on periodic potentials. Time or space periodicity is reflected in the properties of these systems through a dependence on the parameters of their periodic terms. ...
Artículo
Soliton dynamics in optical fibers using the generalized traveling-wave method
(American Physical Society, 2016-04-21)
The generalized traveling wave method (GTWM) is applied to the nonlinear Schrödinger (NLS) equation with general perturbations in order to obtain the equations of motion for an ansatz with six collective coordinates, namely ...
Artículo
Soliton stability criterion for generalized nonlinear Schrödinger equations
(American Physical Society, 2015)
A stability criterion for solitons of the driven nonlinear Schrödinger equation (NLSE) has been conjectured. The criterion states that p′(v)<0 is a sufficient condition for instability, while p′(v)>0 is a necessary condition ...