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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
Solitary waves of a PT -symmetric Nonlinear Dirac equation
(IEEE, 2016)
In the present work, we consider a prototypical example of a PT -symmetric Dirac model. We discuss the underlying linear limit of the model and identify the threshold of the PT -phase transition in an analytical form. ...
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
Interplay between parity-time symmetry, supersymmetry, and nonlinearity: An analytically tractable case example
(American Physical Society, 2015)
In the present work, we combine the notion of parity-time (PT ) symmetry with that of supersymmetry (SUSY) for a prototypical case example with a complex potential that is related by SUSY to the so-called P¨oschl-Teller ...
Artículo
PT -Symmetric dimer in a generalized model of coupled nonlinear oscillators
(Springer, 2015)
In the present work, we explore the case of a general PT -symmetric dimer in the context of two both linearly and nonlinearly coupled cubic oscillators. To obtain an analytical handle on the system, we first explore ...
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
Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model
(American Physical Society (APS), 2016)
We explore a prototypical two-dimensional massive model of the nonlinear Dirac type and examine its solitary wave and vortex solutions. In addition to identifying the stationary states, we provide a systematic spectral ...
Capítulo de Libro
Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics
(Nova, 2015)
In the present work, we give a comparative summary of different recent contributions to the theme of the linear stability and nonlinear dynamics of solitary waves in the nonlinear Dirac equation in the form of the Gross-Neveu ...