Bifurcating bright and dark solitary waves of the nearly nonlinear cubic-quintic Schrodinger equationThe existence of bright and dark multi-bump solitary waves for Ginzburg-Landau type perturbations of the cubic-quintic Schrodinger equation is considered. The waves in question are not perturbations…Todd Kapitula·Aug 26, 1996SaveLearn
Renormalization Group Derivation of Phase EquationsPhase equations describing the evolution of large scale modulation of spatially periodic patterns in two dimensional systems are derived by employing the renormalization group method. A general…Shin-ichi Sasa·Aug 21, 1996SaveLearn
Turing patterns and solitary structures under global controlStriped Turing patterns and solitary band and disk structures are constructed using a three-variable multiscale model with cubic nonlinearity and global control. The existence and stability…L. M. Pismen·Aug 20, 1996SaveLearn
Kink Arrays and Solitary Structures in Optically Biased Phase TransitionAn interphase boundary may be immobilized due to nonlinear diffractional interactions in a feedback optical device. This effect reminds of the Turing mechanism, with the optical field playing the…L. M. Pismen·Aug 20, 1996SaveLearn
Synchronization, chaos, and breakdown of collective domain oscillations in reaction-diffusion systemsThe universal equations describing collective oscillations of the multidomain patterns of small period in an arbitrary d-dimensional reaction-diffusion system of the activator-inhibitor type are…C. B. Muratov·Aug 19, 1996SaveLearn
Interaction of Reaction-Diffusion Fronts and Marangoni Flow on the Interface of Deep FluidI consider a bistable reaction-diffusion system on the interface of deep fluid interacting with Marangoni flow. The method of matched asymptotic expansions is used to resolve the singularity at a…L. M. Pismen·Aug 18, 1996SaveLearn
Large-Scale Flow and Spiral Core Instability in Rayleigh-Benard ConvectionThe spiral core instability, observed in large aspect ratio Rayleigh-Benard convection, is studied numerically in the framework of the Swift-Hohenberg equation coupled to a large-scale flow. It is…Igor Aranson, Michel Assenheimer, Victor Steinberg et al.·Aug 13, 1996SaveLearn
Delay of Vehicle Motion in Traffic DynamicsWe demonstrate that in Optimal Velocity Model (OVM) delay times of vehicles coming from the dynamical equation of motion of OVM almost explain the order of delay times observed in actual traffic…Masako Bando, Katsuya Hasebe, Ken Nakanishi et al.·Aug 6, 1996SaveLearn
Vortex -- Kink Interaction and Capillary Waves in a Vector SuperfluidInteraction of a vortex in a circularly polarized superfluid component of a 2d complex vector field with the phase boundary between superfluid phases with opposite signs of polarization leads to a…A. A. Nepomnyashchy, L. M. Pismen·Aug 5, 1996SaveLearn
Pattern formation in weakly damped Faraday wavesWe present a theoretical study of nonlinear pattern formation in parametric surface waves for fluids of low viscosity, and in the limit of large aspect ratio. The analysis is based on a…Wenbin Zhang, Jorge Vinals·Aug 2, 1996SaveLearn
Numerical Simulation of Three-Dimensional Dendritic GrowthDendritic crystal growth in a pure undercooled melt is simulated quantitatively in three dimensions using a phase-field approach. The full non-axisymmetric morphology of the steady-state dendrite tip…Alain Karma, Wouter-Jan Rappel·Jul 29, 1996SaveLearn
Pattern selection in the absolutely unstable regime as a nonlinear eigenvalue problem: Taylor vortices in axial flowA unique pattern selection in the absolutely unstable regime of a driven, nonlinear, open-flow system is analyzed: The spatiotemporal structures of rotationally symmetric vortices that propagate…P. Buechel, M. Luecke, D. Roth et al.·Jul 26, 1996SaveLearn
Motion of buoyant particles and coarsening of solid-liquid mixtures in a random acceleration fieldFlow induced by a random acceleration field (g-jitter) is considered in two related situations that are of interest for microgravity fluid experiments: the random motion of an isolated buoyant…J. Ross Thomson, Jaume Casademunt, Francois Drolet et al.·Jul 18, 1996SaveLearn
Scenarios of domain pattern formation in a reaction-diffusion systemWe performed an extensive numerical study of a two-dimensional reaction-diffusion system of the activator-inhibitor type in which domain patterns can form. We showed that both multidomain and…C. B. Muratov, V. V. Osipov·Jul 11, 1996SaveLearn
Electroconvection in a Suspended Fluid Film: A Linear Stability AnalysisA suspended fluid film with two free surfaces convects when a sufficiently large voltage is applied across it. We present a linear stability analysis for this system. The forces driving convection…Zahir A. Daya, Stephen W. Morris, John R. de Bruyn·Jul 5, 1996SaveLearn
Multiple-Time Higher-Order Perturbation Analysis of the Regularized Long-Wavelength EquationBy considering the long-wave limit of the regularized long wave (RLW) equation, we study its multiple-time higher-order evolution equations. As a first result, the equations of the Korteweg-de Vries…R. A. Kraenkel, M. A. Manna, V. Merle et al.·Jun 27, 1996SaveLearn
Nonlinear saturation of electrostatic waves: mobile ions modify trapping scalingThe amplitude equation for an unstable electrostatic wave in a multi-species Vlasov plasma has been derived. The dynamics of the mode amplitude (t) is studied using an expansion in ; in…John David Crawford, Anandhan Jayaraman·Jun 24, 1996SaveLearn
On a Conjecture of Goriely for the Speed of Fronts of the Reaction--Diffusion EquationIn a recent paper Goriely considers the one--dimensional scalar reaction--diffusion equation ut = uxx + f(u) with a polynomial reaction term f(u) and conjectures the existence of a relation…J. Cisternas, M. C. Depassier·Jun 24, 1996SaveLearn
Links, Knots and Knotted Labyrinths in Bistable SystemsThe existence of stable links and knots is demonstrated in three-dimensional, bistable, chemical media. The reaction-diffusion medium segregates into regions of high and low concentration separated…Anatoly Malevanets, Raymond Kapral·Jun 17, 1996SaveLearn
Mutually Penetrating Motion of Self-Organized 2D Patterns of Soliton-Like StructuresResults of numerical simulations of a recently derived most general dissipative-dispersive PDE describing evolution of a film flowing down an inclined plane are presented. They indicate that a novel…K. Indireshkumar, A. L. Frenkel·Jun 10, 1996SaveLearn
The Exactly Solvable Simplest Model for Queue DynamicsWe present an exactly solvable model for queue dynamics. Our model is very simple but provides the essential property for such dynamics. As an example, the model has the traveling cluster solution as…Y. Sugiyama, H. Yamada·Jun 7, 1996SaveLearn
Self-replication and splitting of domain patterns in reaction-diffusion systems with fast inhibitorAn asymptotic equation of motion for the pattern interface in the domain-forming reaction-diffusion systems is derived. The free boundary problem is reduced to the universal equation of non-local…C. B. Muratov·Jun 5, 1996SaveLearn
Temporal Modulation of Traveling Waves in the Flow Between Rotating Cylinders With Broken Azimuthal SymmetryThe effect of temporal modulation on traveling waves in the flows in two distinct systems of rotating cylinders, both with broken azimuthal symmetry, has been investigated. It is shown that by…Sarath G. K. Tennakoon, C. David Andereck, John. J. Hegseth et al.·Jun 5, 1996SaveLearn
Direct Hopf Bifurcation in Parametric Resonance of Hybridized WavesWe study parametric resonance of interacting waves having the same wave vector and frequency. In addition to the well-known period-doubling instability we show that under certain conditions the…Franz-Josef Elmer·Jun 4, 1996SaveLearn
Weakly Nonlinear Theory of Pattern-Forming Systems with Spontaneously Broken IsotropyQuasi two-dimensional pattern forming systems with spontaneously broken isotropy represent a novel symmetry class, that is experimentally accessible in electroconvection of homeotropically aligned…A. G. Rossberg, A. Hertrich, L. Kramer et al.·Jun 3, 1996SaveLearn