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Browsing by Author "Mertens, Franz G."
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Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces [Article]
Quintero, Niurka R.; Sánchez Sánchez, Ángel; Mertens, Franz G. (2001)We study the dynamics of kinks in the φ4 model subjected to a parametric ac force, both with and without damping, as a paradigm of solitary waves with internal modes. By using a collective coordinate approach, we find that ...

Anomalous Resonance Phenomena of Solitary Waves with Internal Modes [Article]
Quintero, Niurka R.; Sánchez Sánchez, Ángel; Mertens, Franz G. (2000)We investigate the nonparametric, pure ac driven dynamics of nonlinear KleinGordon solitary waves having an internal mode of frequency Ωi. We show that the strongest resonance arises when the driving frequency δ=Ωi/2, ...

Driven and damped double sineGordon equation: The influence of internal modes on the soliton ratchet mobility [Article]
Quintero, Niurka R.; Álvarez Nodarse, Renato; Mertens, Franz G. (2009)This work studies the damped double sineGordon equation driven by a biharmonic force, where a parameter λ controls the existence and the frequency of an internal mode. The role of internal oscillations of the kink width ...

Erratum: Nonlinear Dirac equation solitary waves in external fields [Phys. Rev. E 86, 046602 (2012)] [Article]
Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; Khare, Avinash; Saxena, Avadh (American Physical Society, 2016) 
Existence of internal modes of sineGordon kinks [Rapid Communications] [Article]
Quintero, Niurka R.; Sánchez Sánchez, Ángel; Mertens, Franz G. (2000)We study whether or not sineGordon kinks exhibit internal modes or ‘‘quasimodes.’’ By considering the response of the kinks to ac forces and initial distortions, we show that neither intrinsic internal modes nor ‘‘quasimodes’’ ...

Forced nonlinear Schrödinger equation with arbitrary nonlinearity [Article]
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Mertens, Franz G.; Saxena, Avadh (2012)We consider the nonlinear Schrödinger equation (NLSE) in 1+1 dimension with scalarscalar selfinteraction 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 ...

Generalized travelingwave method, variational approach, and modified conserved quantities for the perturbed nonlinear Schrödinger equation. [Article]
Quintero, Niurka R.; Mertens, Franz G.; Bishop, Alan R. (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. ...

Internal Mode Mechanism for Collective Energy Transport in Extended Systems [Article]
Sánchez Sánchez, Ángel; Quintero, Niurka R.; Mertens, Franz G.; MoralesMolina, Luis (2003)We study directed energy transport in homogeneous nonlinear extended systems in the presence of homogeneous ac forces and dissipation. We show that the mechanism responsible for unidirectional motion of topological excitations ...

Kink topology control by highfrequency external forces in nonlinear KleinGordon models [Article]
Álvarez Nodarse, Renato; Quintero, Niurka R.; Mertens, Franz G. (American Physical Society, 2014)A method of averaging is applied to study the dynamics of a kink in the damped double sineGordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach ...

Nonlinear Dirac equation solitary waves in external fields [Article]
Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; Khare, Avinash; Saxena, Avadh (2012)We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalarscalar selfinteraction g2κ+1(Ψ¯¯¯Ψ)κ+1 in the presence of various external electromagnetic fields. We find exact solutions for special external ...

Nonlinear Dirac equation solitary waves under a spinor force with different components [Article]
Mertens, Franz G.; Cooper, Fred; Sihong, Shao; Quintero, Niurka R.; Saxena, Avadh; Bishop, Alan R. (IOP, 2017)We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalarscalar selfinteraction in the presence of external forces as well as damping of the form γͦf(xt)  ιμγͦψ, where both f, {fj = rieiKjx} and ψ are ...

Nonlinear Schrödinger equation with spatiotemporal perturbations [Article]
Mertens, Franz G.; Quintero, Niurka R.; Bishop, Alan R. (2010)We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation (NLSE) with the following perturbations: nonparametric spatiotemporal driving of the form f(x,t)=a exp[iK(t)x], damping, and a linear term ...

Nonlinear Schrödinger solitons oscillate under a constant external force [Article]
Mertens, Franz G.; Quintero, Niurka R.; Bishop, Alan R. (2013)We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation with an external timeindependent force of the form f(x)=rexp(−iKx). Here the solitons travel with an oscillating velocity and all other ...

Overdamped sineGordon kink in a thermal bath [Article]
Quintero, Niurka R.; Sánchez Sánchez, Ángel; Mertens, Franz G. (1999)We study sineGordon kink diffusion at finite temperature in the overdamped limit. By means of a general perturbative approach, we calculate the first and secondorder ~ in temperature ! contributions to the ...

Paramagnetic colloidal ribbons in a precessing magnetic field [Article]
Álvarez Nodarse, Renato; Quintero, Niurka R.; Mertens, Franz G.; Casic, N.; Fischer, Thomas M. (American Physical Society, 2015)We investigate the dynamics of a kink in a damped parametrically driven nonlinear KleinGordon equation.We show by using a method of averaging that, in the highfrequency limit, the kinkmoves in an effective potential ...

Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity [Article]
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; SánchezRey, Bernardo; Mertens, Franz G.; Saxena, Avadh (IOP Publishing, 202001)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 ...

Propulsion efficiency of a dynamic selfassembled helical ribbon [Article]
Casic, Nebojsa; Quintero, Niurka R.; Álvarez Nodarse, Renato; Mertens, Franz G.; Jibuti, Levan; Zimmermann, Walter; Fischer, Thomas M. (2013)We study the dynamic selfassembly 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 ...

¿Puede apararecer el efecto ratchet en sistemas simétricos? [Presentation]
Quintero, Niurka R.; ZamoraSillero, Elías; Mertens, Franz G. (2006) 
Ratchet effect in a damped sineGordon system with additive and parametric ac driving forces [Article]
ZamoraSillero, Elías; Quintero, Niurka R.; Mertens, Franz G. (2006)We study in detail the damped sineGordon equation, driven by two ac forces (one is added as a parametric perturbation and the other one in an additive way), as an example of soliton ratchets. By means of a collective ...

Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing [Article]
Mertens, Franz G.; Quintero, Niurka R.; Barashenkov, Igor V.; Bishop, Alan R. (20110825)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 timeindependent ...