Soliton Interaction with an External Traveling WaveThe dynamics of soliton pulses in the Nonlinear Schrodinger Equation (NLSE) driven by an external Traveling wave is studied analytically and numerically. The Hamiltonian structure of the system is…Gil Cohen·Mar 24, 1999SaveLearn
Mechanisms of spatial current-density instabilities in p+ - p- - n - p+ -n++ structuresSemiconductor p+ - p- - n - p+ - n++ structures with large junction and contact areas are treated as 1 × 2-dimensional active media, in which self-organized pattern formation can be…A. V. Gorbatyuk, F. -J. Niedernostheide·Mar 22, 1999SaveLearn
Disclination vortices in elastic mediaThe vortex-like solutions are studied in the framework of the gauge model of disclinations in elastic continuum. A complete set of model equations with disclination driven dislocations taken into…M. Pudlak, V. A. Osipov·Mar 16, 1999SaveLearn
Extended parametric resonances in nonlinear Schrodinger systemsWe study an example of exact parametric resonance in a extended system ruled by nonlinear partial differential equations of nonlinear Schrödinger type. It is also conjectured how related models not…J. J. Garcia-Ripoll, V. M. Perez-Garcia, P. Torres·Mar 16, 1999SaveLearn
3D+1 Parametric Bright Vortex Solitons. Optical MesonsUsing the method of separation of variables, we developed a vector nonparaxial theory from the nonlinear wave equations in strong field approximation of a Kerr media. Investigating three waves on…Lubomir M. Kovachev·Mar 5, 1999SaveLearn
Excitation Thresholds for Nonlinear Localized Modes on LatticesBreathers are spatially localized and time periodic solutions of extended Hamiltonian dynamical systems. In this paper we study excitation thresholds for (nonlinearly dynamically stable) ground state…Michael I. Weinstein·Mar 5, 1999SaveLearn
Soliton-Complex Dynamics in Strongly Dispersive MediumThe concept of soliton complex in a nonlinear dispersive medium is proposed. It is shown that strongly interacting identical topological solitons in the medium can form bound soliton complexes which…Mikhail M. Bogdan, Arnold M. Kosevich, Gerard A. Maugin·Feb 19, 1999SaveLearn
Three dimensional bright vortex solitonUsing the method of separation of variables, we developed a vector nonparaxial theory for the nonlinear wave equations in strong field approximation. We found that exact localized vortex soliton…L. M. Kovachev·Feb 19, 1999SaveLearn
Laplacian Growth I: Finger Competition and Formation of a Single Saffman-Taylor Finger without Surface Tension: An Exact ResultWe study the exact non-singular zero-surface tension solutions of the Saffman-Taylor problem for all times. We show that all moving logarithmic singularities ak(t) in the complex plane ω= eiϕ,…Mark Mineev-Weinstein, Oleg Kupervasser·Feb 18, 1999SaveLearn
Multi-Phase Patterns in Periodically Forced Oscillatory SystemsPeriodic forcing of an oscillatory system produces frequency locking bands within which the system frequency is rationally related to the forcing frequency. We study extended oscillatory systems that…Christian Elphick, Aric Hagberg, Ehud Meron·Feb 17, 1999SaveLearn
Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systemsWe study the coupled complex Ginzburg-Landau (CGL) equations for traveling wave systems in the regime where sources and sinks separate patches of left and right-traveling waves. We show that sources…Martin van Hecke, Cornelis Storm, Wim van Saarloos·Feb 16, 1999SaveLearn
On-off Intermittency in Stochastically Driven Electrohydrodynamic Convection in NematicsWe report on-off intermittency in electroconvection of nematic liquid crystals driven by a dichotomous stochastic electric voltage. With increasing voltage amplitude we observe laminar phases of…Thomas John, Ralf Stannarius, Ulrich Behn·Feb 15, 1999SaveLearn
Near Critical Reflection of Internal WavesUsing a matched asymptotic expansion we analyze the two-dimensional, near- critical reflection of a weakly nonlinear, internal gravity wave from a sloping boundary in a uniformly stratified fluid.…T. Dauxois, W. R. Young·Feb 11, 1999SaveLearn
Existence and stability of hole solutions to complex Ginzburg-Landau equationsWe consider the existence and stability of the hole, or dark soliton, solution to a Ginzburg-Landau perturbation of the defocusing nonlinear Schroedinger equation (NLS), and to the nearly real…Todd Kapitula, Jonathan Rubin·Feb 1, 1999SaveLearn
Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice ModelsA system of first-order differential-difference equations with time lag describes the formation of density waves, called as quasi-solitons for dissipative systems in this paper. For co-moving density…Yuji Igarashi, Katsmi Itoh, Ken Nakanishi et al.·Jan 29, 1999SaveLearn
Discrete Nonlinear Schrödinger Breathers in a Phonon BathWe study the dynamics of the discrete nonlinear Schrödinger lattice initialized such that a very long transitory period of time in which standard Boltzmann statistics is insufficient is reached.…K. Ø. Rasmussen, S. Aubry, A. R. Bishop et al.·Jan 14, 1999SaveLearn
Traveling wave solutions in the Burridge-Knopoff modelThe slider-block Burridge-Knopoff model with the Coulomb friction law is studied as an excitable medium. It is shown that in the continuum limit the system admits solutions in the form of the…C. B. Muratov·Jan 14, 1999SaveLearn
Buckling Cascade of Thin Plates: Forms, Constraints and SimilarityWe experimentally study compression of thin plates in rectangular boxes with variable height. A cascade of buckling is generated. It gives rise to a self-similar evolution of elastic reaction of…B. Roman, A. Pocheau·Jan 5, 1999SaveLearn
A Potential of Incoherent Attraction Between Multidimensional SolitonsWe obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two…Andrey Maimistov, Boris Malomed, Anton Desyatnikov·Dec 25, 1998SaveLearn
Localized Structures in Nonlinear Lattices with Diffusive Coupling and External DrivingWe study the stabilization of localized structures by discreteness in one-dimensional lattices of diffusively coupled nonlinear sites. We find that in an external driving field these structures may…Igor Mitkov, Konstantin Kladko, A. R. Bishop·Dec 23, 1998SaveLearn
The exact solutions of differential equation with delayThe exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveling cluster of jam,…K. Hasebe, A. Nakayama, Y. Sugiyama·Dec 22, 1998SaveLearn
Scaling Variables and Stability of Hyperbolic FrontsWe consider the damped hyperbolic equation (1) εutt + ut = uxx + F(u), x ∈ R, t 0, where εis a positive, not necessarily small parameter. We assume that F(0) = F(1) = 0 and that F is…Th. Gallay, G. Raugel·Dec 18, 1998SaveLearn
Nonlinear Schrödinger solitons scattering off an interfaceWe integrate the one-dimensional nonlinear Schrödinger equation numerically for solitons moving in external potentials. In particular, we study the scattering off an interface separating two regions…H. Frauenkron·Dec 18, 1998SaveLearn
Induced Coherence and Stable Soliton SpiralingWe develop a theory of soliton spiraling in a bulk nonlinear medium and reveal a new physical mechanism: periodic power exchange via induced coherence, which can lead to stable spiraling and the…Alexander V. Buryak, Yuri S. Kivshar, Ming-feng Shih et al.·Dec 14, 1998SaveLearn
Moving lattice kinks and pulses: an inverse methodWe develop a general mapping from given kink or pulse shaped travelling-wave solutions including their velocity to the equations of motion on one-dimensional lattices which support these solutions.…S. Flach, Y. Zolotaryuk, K. Kladko·Dec 8, 1998SaveLearn