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Artículo
Nonlinear Dirac equation solitary waves in external fields
(2012)
We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalar-scalar self-interaction g2κ+1(Ψ¯¯¯Ψ)κ+1 in the presence of various external electromagnetic fields. We find exact solutions for special external ...
Artículo
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
(American Physical Society, 2014)
We consider the nonlinear Dirac equation in 1 + 1 dimension with scalar-scalar self interaction g2κ+1(Ψ¯¯¯Ψ)κ+1 and with mass m. Using the exact analytic form for rest frame solitary waves of the form Ψ(x,t)=ψ(x)e−iωt for ...
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
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 ...