2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR75 papers
- University of MünsterDE37 papers
- Los Alamos National LaboratoryUS33 papers
- Max Planck Institute for Dynamics and Self-OrganizationDE26 papers
- Observatoire de la Côte d’AzurFR26 papers
- University of StuttgartDE25 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE23 papers
- Heinrich Heine University DüsseldorfDE23 papers
- Northwestern UniversityUS23 papers
- Deutsches Elektronen-Synchrotron DESYDE22 papers
- Bogolyubov Institute for Theoretical PhysicsUA21 papers
- ETH ZurichCH21 papers
55 papers · 1 filter
Soliton dynamics in the ABS nonlinear spinor model with external fields
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We consider the novel nonlinear model in (1 + 1)-dimensions for Dirac spinors recently introduced by Alexeeva, Barashenkov, and Saxena [1] (ABS model), which admits an exact explic…
Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We investigate the effects on solitons dynamics of introducing a PT-symmetric complex potential in a specific family of the cubic Dirac equation in (1+1)-dimensions, called the ABS…
On the band-width of stable nonlinear stripe patterns in finite size systems
Mirko Ruppert, Walter Zimmermann
Nonlinear stripe patterns occur in many different systems, from the small scales of biological cells to geological scales as cloud patterns. They all share the universal property o…
Periodic patterns displace active phase separation
Frederik J. Thomsen, Lisa Rapp, Fabian Bergmann +1
In this work we identify and investigate a novel bifurcation in conserved systems. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then eith…
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity
Fred Cooper, Avinash Khare, Niurka R. Quintero +3
The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter is analyzed, when the external force is periodic in space and given by $f(x)…
Speed-of-light pulses in a nonlinear Weyl equation
J. Cuevas-Maraver, P. G. Kevrekidis, F. G. Mertens +1
We introduce a prototypical nonlinear Weyl equation, motivated by recent developments in massless Dirac fermions, topological semimetals and photonics. We study the dynamics of its…
Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
Fred Cooper, John F. Dawson, Franz G. Mertens +5
We discuss the effect of small perturbation on nodeless solutions of the nonlinear \Schrodinger\ equation in 1+1 dimensions in an external complex potential derivable from a parity…
Speed-of-light pulses in the massless nonlinear Dirac equation with a potential
Niurka R. Quintero, Franz G. Mertens, Fred Cooper +2
We consider the massless nonlinear Dirac (NLD) equation in dimension with scalar-scalar self-interaction in the presence of three external electro…
Non-autonomous bright solitons and their stability in Rabi coupled binary Bose-Einstein Condensates
T. Kanna, R. Babu Mareeswaran, Franz G. Mertens
The dynamics of non-autonomous bright matter-wave solitons in Rabi coupled binary Bose-Einstein condensates is explored. By performing a unitary and similarity/lens-type transforma…
Nonlinear Dirac equation solitary waves under a spinor force with different components
Franz G. Mertens, Fred Cooper, Sihong Shao +3
We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar self-interaction in the presence of external forces as well as damping of the form $γ^0 f(x,t) -…
Variational Approach to studying solitary waves in the nonlinear Schrodinger equation with Complex Potentials
Franz G. Mertens, Fred Cooper, Edward Arevalo +3
We discuss the behavior of solitary wave solutions of the nonlinear Schr{ö}dinger equation (NLSE) as they interact with complex potentials, using a four parameter variational appro…
Retarding the growth of the {Rosensweig} instability unveils a new scaling regime
Adrian Lange, Christian Gollwitzer, Robin Maretzki +2
Using a highly viscous magnetic fluid, the dynamics in the aftermath of the Rosensweig instability can be slowed down by more than 2000 times. In this way we expand the regime wher…
Coexistence of Stable Branched Patterns in Anisotropic Inhomogeneous Systems
B. Kaoui, A. Guckenberger, A. Krekhov +2
A new class of pattern forming systems is identified and investigated: anisotropic systems that are spatially inhomogeneous along the direction perpendicular to the preferred one.…
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
Sihong Shao, Niurka R. Quintero, Franz G. Mertens +3
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction and with mass . Using the exact analytic form…
Nonlinear Dirac equation solitary waves in external fields
Franz G. Mertens, Niurka R. Quintero, Fred Cooper +2
We consider the nonlinear Dirac equations (NLDE's) in 1+1 dimension with scalar-scalar self interaction $\frac{g^2}{κ+1} ({\bPsi} Ψ)^{κ+1}$ in the presence of various external elec…
Forced Nonlinear Schroedinger Equation with Arbitrary Nonlinearity
Fred Cooper, Avinash Khare, Niurka R. Quintero +2
We consider the nonlinear Schr{ö}dinger equation (NLSE) in 1+1 dimension with scalar-scalar self interaction in the presence of the external for…
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
Franz G. Mertens, Niurka R. Quintero, I. V. Barashenkov +1
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form . For the cas…
The Amplitude Equation for the Rosensweig Instability in Magnetic Fluids and Gels
Stefan Bohlius, Harald Pleiner, Helmut R. Brand
The Rosensweig instability has a special character among the frequently discussed instabilities. One distinct property is the necessary presence of a deformable surface, and anothe…
From Phase Space Representation to Amplitude Equations in a Pattern Forming Experiment
Christian Gollwitzer, Ingo Rehberg, Reinhard Richter
We describe and demonstrate a method to reconstruct an amplitude equation from the nonlinear relaxation dynamics in the succession of the Rosensweig instability. A flat layer of a…
Particle dynamics of a cartoon dune
Christopher Groh, Ingo Rehberg, Christof A. Kruelle
The spatio-temporal evolution of a downsized model for a desert dune is observed experimentally in a narrow water flow channel. A particle tracking method reveals that the migratio…
Nonlinear Schrödinger Equation with Spatio-Temporal Perturbations
Franz G. Mertens, Niurka R. Quintero, A. R. Bishop
We investigate the dynamics of solitons of the cubic Nonlinear Schrödinger Equation (NLSE) with the following perturbations: non-parametric spatio-temporal driving of the form $f(x…
The normal field instability under side-wall effects: comparison of experiments and computations
C Gollwitzer, A N Spyropoulos, A G Papathanasiou +2
We consider a single spike of ferrofluid, arising in a small cylindrical container, when a vertically oriented magnetic field is applied. The height of the spike as well as the sur…
Grain size dependence of barchan dune dynamics
C. Groh, N. Aksel, I. Rehberg +1
The dependence of the barchan dune dynamics on the size of the grains involved is investigated experimentally. Downsized barchan dune slices are observed in a narrow water flow tub…
Traveling spatially periodic forcing of phase separation
V. Weith, A. Krekhov, W. Zimmermann
We present a theoretical analysis of phase separation in the presence of a spatially periodic forcing of wavenumber q traveling with a velocity v. By an analytical and numerical st…