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Listar por autor "Mertens, Franz G."
Mostrando ítems 1-20 de 32
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Artículo
Anomalies of ac driven solitary waves with internal modes: Nonparametric resonances induced by parametric forces
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 ...
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Artículo
Anomalous Resonance Phenomena of Solitary Waves with Internal Modes
Quintero, Niurka R.; Sánchez Sánchez, Ángel; Mertens, Franz G. (2000)We investigate the nonparametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode ...
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Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility
Quintero, Niurka R.; Álvarez Nodarse, Renato; Mertens, Franz G. (2009)This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the ...
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Artículo
Erratum: Nonlinear Dirac equation solitary waves in external fields [Phys. Rev. E 86, 046602 (2012)]
Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; Khare, Avinash; Saxena, Avadh (American Physical Society, 2016) -
Artículo
Existence of internal modes of sine-Gordon kinks [Rapid Communications]
Quintero, Niurka R.; Sánchez Sánchez, Ángel; Mertens, Franz G. (2000)We study whether or not sine-Gordon kinks exhibit internal modes or ‘‘quasimodes.’’ By considering the response of the ...
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Artículo
Forced nonlinear Schrödinger equation with arbitrary nonlinearity
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 scalar-scalar self-interaction g2κ+1(ψ☆ψ)κ+1 ...
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Generalized traveling-wave method, variational approach, and modified conserved quantities for the perturbed nonlinear Schrödinger equation.
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 ...
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Internal Mode Mechanism for Collective Energy Transport in Extended Systems
Sánchez Sánchez, Ángel; Quintero, Niurka R.; Mertens, Franz G.; Morales-Molina, Luis (2003)We study directed energy transport in homogeneous nonlinear extended systems in the presence of homogeneous ac forces and ...
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Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
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 sine-Gordon equation driven by both ...
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Artículo
Nonlinear Dirac equation solitary waves in external fields
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 scalar-scalar self-interaction g2κ+1(Ψ¯¯¯Ψ)κ+1 ...
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Artículo
Nonlinear Dirac equation solitary waves under a spinor force with different components
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 scalar-scalar selfinteraction in the presence of ...
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Artículo
Nonlinear Schrödinger equation with spatiotemporal perturbations
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: ...
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Nonlinear Schrödinger solitons oscillate under a constant external force
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 time-independent force ...
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Overdamped sine-Gordon kink in a thermal bath
Quintero, Niurka R.; Sánchez Sánchez, Ángel; Mertens, Franz G. (1999)We study sine-Gordon kink diffusion at finite temperature in the overdamped limit. By means of a general perturbative ...
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Paramagnetic colloidal ribbons in a precessing magnetic field
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 Klein-Gordon equation.We show by using ...
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Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Mertens, Franz G.; Saxena, Avadh (IOP Publishing, 2020-01)The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter κ is analyzed, when ...
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Artículo
Propulsion efficiency of a dynamic self-assembled helical ribbon
Casic, Nebojsa; Quintero, Niurka R.; Álvarez Nodarse, Renato; Mertens, Franz G.; Jibuti, Levan; Zimmermann, Walter; Fischer, Thomas M. (2013)We study the dynamic self-assembly and propulsion of a ribbon formed from paramagnetic colloids in a dynamic magnetic ...
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Ponencia
¿Puede apararecer el efecto ratchet en sistemas simétricos?
Quintero, Niurka R.; Zamora-Sillero, Elías; Mertens, Franz G. (2006) -
Artículo
Ratchet effect in a damped sine-Gordon system with additive and parametric ac driving forces
Zamora-Sillero, Elías; Quintero, Niurka R.; Mertens, Franz G. (2006)We study in detail the damped sine-Gordon equation, driven by two ac forces (one is added as a parametric perturbation and ...
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Artículo
Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing
Mertens, Franz G.; Quintero, Niurka R.; Barashenkov, Igor V.; Bishop, Alan R. (2011-08-25)We investigate the dynamics of traveling oscillating solitons of the cubic nonlinear Schrödinger (NLS) equation under an ...