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Artículo
Nonlinear Dirac equation solitary waves under a spinor force with different components
(IOP, 2017)
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 γͦf(x-t) - ιμγͦψ, where both f, {fj = rieiKjx} and ψ are ...
Artículo
Erratum: Nonlinear Dirac equation solitary waves in external fields [Phys. Rev. E 86, 046602 (2012)]
(American Physical Society, 2016)
Artículo
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
(IOP, 2017)
We discuss the effect of small perturbation on nodeless solutions of the nonlinear Schrödinger equation in 1 + 1 dimensions in an external complex potential derivable from a parity-time symmetric superpotential that ...
Artículo
Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing
(2011-08-25)
We investigate the dynamics of traveling oscillating solitons of the cubic nonlinear Schrödinger (NLS) equation under an external spatiotemporal forcing of the form f(x,t)=aexp[iK(t)x]. For the case of time-independent ...
Artículo
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
(American Physical Society, 2014)
A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach ...
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
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 ...