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Pattern Formation and Solitons papers — page 5

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Dynamic properties of solitons in the Frenkel-Kontorova Model. Application to incommensurate CDW conductors
An impact of kink-type solitons on infrared lattice vibrations is studied for incommensurate Frenkel-Kontorova model. It is shown that the vibration of particles involved into the kink formation is…
Victor M. BurlakovNov 29, 1998
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Optical Gap Solitons in Nonresonant Quadratic Media
We demonstrate an important role of the process of optical rectification in the theory of nonlinear wave propagation in quadratically nonlinear [or χ(2) ] periodic optical media. We derive a…
Takeshi Iizuka, Yuri KivsharNov 27, 1998
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A study of a hamiltonian model for martensitic phase transformations including microkinetic energy
How can a system in a macroscopically stable state explore energetically more favorable states, which are far away from the current equilibrium state? Based on continuum mechanical considerations we…
F. Theil, V. I. LevitasNov 19, 1998
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Spatial- and spatio-temporal pattern formation in optically driven discrete systems
Dynamical coherent structure (pattern) formation in the Klein-Gordon lattice excited by periodic external field near the optical resonance is studied. It is shown that besides spatial patterns…
Victor M. BurlakovNov 18, 1998
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Faraday waves on a viscoelastic liquid
We investigate Faraday waves on a viscoelastic liquid. Onset measurements and a nonlinear phase diagram for the selected patterns are presented. By virtue of the elasticity of the material a surface…
C. Wagner, H. W. Mueller, K. KnorrNov 16, 1998
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Towards a global classification of excitable reaction-diffusion systems
Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems.…
Silvina Ponce Dawson, Maria Veronica D'Angelo, John E. PearsonNov 13, 1998
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Discreteness-Induced Oscillatory Instabilities of Dark Solitons
We reveal that even weak inherent discreteness of a nonlinear model can lead to instabilities of the localized modes it supports. We present the first example of an oscillatory instability of dark…
Magnus Johansson, Yuri S. KivsharNov 5, 1998
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Self-organized Vortex State in Two-dimensional Dictyostelium Dynamics
We present results of experiments on the dynamics of Dictyostelium discoideum in a novel set-up which constraints cell motion to a plane. After aggregation, the amoebae collect into round…
Wouter-Jan Rappel, Alastair Nicol, Armand Sarkissian et al.Nov 4, 1998
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Subharmonic bifurcation cascade of pattern oscillations caused by winding number increasing entrainment
Convection structures in binary fluid mixtures are investigated for positive Soret coupling in the driving regime where solutal and thermal contributions to the buoyancy forces compete. Bifurcation…
Ch. Jung, B. Huke, M. LueckeOct 23, 1998
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Thermoconvection in magnetized ferrofluids: the influence of boundaries with finite heat conductivity
Realistic boundaries of finite heat conductivity Realistic boundaries of finite heat conductivity for thermoconvection in a Rayleigh-Bénard setup with magnetized ferrofluids are investigated. A…
A. Recktenwald, M. LueckeOct 23, 1998
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Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems
In a certain class of differential-difference equations for dissipative systems, we show that hyperbolic tangent model is the only the nonlinear system of equations which can admit some particular…
Yuji Igarashi, Katsumi Itoh, Ken NakanishiOct 20, 1998
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Controlled Dynamics of Interfaces in a Vibrated Granular Layer
We present experimental study of a topological excitation, interface, in a vertically vibrated layer of granular material. We show that these interfaces, separating regions of granular material…
I. Aranson, D. Blair, W. Kwok et al.Oct 12, 1998
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Dynamics of axial separation in long rotating drums
We propose a continuum description for the axial separation of granular materials in a long rotating drum. The model, operating with two local variables, concentration difference and the dynamic…
Igor Aranson, Lev S. TsimringOct 11, 1998
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Parametrically Excited Surface Waves: Two-Frequency Forcing, Normal Form Symmetries, and Pattern Selection
Motivated by experimental observations of exotic standing wave patterns in the two-frequency Faraday experiment, we investigate the role of normal form symmetries in the pattern selection problem.…
Mary Silber, Anne C. SkeldonOct 2, 1998
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Localized Structures in Pattern-Forming Systems
A number of mechanisms that lead to the confinement of patterns to a small part of a translationally symmetric pattern-forming system are reviewed: nonadiabatic locking of fronts, global coupling and…
Hermann RieckeOct 1, 1998
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A Transverse Oscillation Arising From Spatial Soliton Formation in Nonlinear Optical Cavities
A new type of transverse instability in dispersively nonlinear optical cavities, called the optical whistle, is discussed. This instability occurs in the mean-field, soliton forming limit when the…
Jack Boyce, Raymond Y. ChiaoSep 25, 1998
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π-kinks in strongly ac driven sine-Gordon systems
We demonstrate that π-kinks exist in non-parametrically ac driven sine-Gordon systems if the ac drive is sufficiently fast. It is found that, at a critical value of the drive amplitude, there are…
Vadim Zharnitsky, Igor Mitkov, Niels Grønbech-JensenSep 20, 1998
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Standing and Moving Gap Solitons in Resonantly Absorbing Gratings
We present hitherto unknown forms of soliton dynamics in the forbidden frequency gap of a Bragg reflector, modified by periodic layers of near-resonant two-level systems (TLS). Remarkably, even…
A. E. Kozhekin, G. Kurizki, Boris A. MalomedSep 20, 1998
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Parametrically forced sine-Gordon equation and domain walls dynamics in ferromagnets
A parametrically forced sine-Gordon equation with a fast periodic mean-zero forcing is considered. It is shown that π-kinks represent a class of solitary-wave solutions of the equation. This…
Vadim Zharnitsky, Igor Mitkov, Mark LeviSep 20, 1998
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A Potential of Interaction between Two- and Three-Dimensional Solitons
A general method to find an effective potential of interaction between far separated 2D and 3D solitons is elaborated, including the case of 2D vortex solitons. The method is based on explicit…
Boris A. MalomedSep 19, 1998
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Stability of Propagating Fronts in Damped Hyperbolic Equations
We consider the damped hyperbolic equation in one space dimension εutt + ut = uxx + F(u), where ε is a positive, not necessarily small parameter. We assume that F(0)=F(1)=0 and that F…
Th. Gallay, G. RaugelSep 18, 1998
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Perturbation theory for gap solitons
The paper was withdrawn by the author. Further research is needed.
V. S. ShchesnovichSep 17, 1998
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Second-order perturbation theory for the parametrically driven NLS solitons
Withdrawn by the author. Further research is needed.
V. S. ShchesnovichSep 17, 1998
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Soliton motion in a parametrically ac-driven damped Toda lattice
We demonstrate that a staggered parametric ac driving term can support stable progressive motion of a soliton in a Toda lattice with friction, while an unstaggered drivng force cannot. A physical…
K. O. Rasmussen, Boris A. Malomed, A. R. Bishop et al.Sep 7, 1998
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Helicoidal instability of a scroll vortex in three-dimensional reaction-diffusion systems
We study the dynamics of scroll vortices in excitable reaction-diffusion systems analytically and numerically. We demonstrate that intrinsic three-dimensional instability of a straight scroll leads…
Igor Aranson, Igor MitkovSep 5, 1998
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