Instabilities of Hexagonal Patterns with Broken Chiral SymmetryThree coupled Ginzburg-Landau equations for hexagonal patterns with broken chiral symmetry are investigated. They are relevant for the dynamics close to onset of rotating non-Boussinesq or…Blas Echebarria, Hermann Riecke·Jun 7, 1999SaveLearn
Instabilities of Higher-Order Parametric Solitons. Filamentation versus CoalescenceWe investigate stability and dynamics of higher-order solitary waves in quadratic media, which have a central peak and one or more surrounding rings. We show existence of two qualitatively different…Dmitry V. Skryabin, William J. Firth·Jun 5, 1999SaveLearn
Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equationsWe present a detailed analysis of the modulational instability (MI) of ground-state bright solitary solutions of two incoherently coupled nonlinear Schrödinger equations. Varying the relative…Dmitry V. Skryabin, William J. Firth·Jun 5, 1999SaveLearn
Modulational instability of solitary waves in non-degenerate three-wave mixing: The role of phase symmetriesWe show how the analytical approach of Zakharov and Rubenchik [Sov. Phys. JETP 38, 494 (1974)] to modulational instability (MI) of solitary waves in the nonlinear Schröedinger equation (NLS)…Dmitry V. Skryabin, William J. Firth·Jun 5, 1999SaveLearn
Interaction of cavity solitons in degenerate optical parametric oscillatorsNumerical studies together with asymptotic and spectral analysis establish regimes where soliton pairs in degenerate optical parametric oscillators fuse, repel, or form bound states. A novel bound…Dmitry V. Skryabin, William J. Firth·Jun 4, 1999SaveLearn
Quadratic solitary waves in a counterpropagating quasi-phase-matched configurationWe demonstrate the possibility of self-trapping of optical beams by use of quasi phase matching in a counterpropagating configuration in quadratic media. We also show the predominant stability of…Kazimir Y. Kolossovski, Alexander V. Buryak, Rowland. A. Sammut·Jun 1, 1999SaveLearn
Existence threshold for the ac-driven damped nonlinear Schrödinger solitonsIt has been known for some time that solitons of the externally driven, damped nonlinear Schrödinger equation can only exist if the driver's strength, h, exceeds approximately (2/ π) γ, where…I. V. Barashenkov, E. V. Zemlyanaya·May 28, 1999SaveLearn
Soliton structure dynamics in inhomogeneous mediaWe show that soliton interaction with finite-width inhomogeneities can activate a great number of soliton internal modes. We obtain the exact stationary soliton solution in the presence of…L. E. Guerrero, A. Bellorin, J. A. Gonzalez·May 27, 1999SaveLearn
Long-range interacting solitons: pattern formation and nonextensive thermostatisticsThe nonlinear Klein-Gordon equation with a different potential that satisfies the degeneracy properties discussed in this paper possesses solitonic solutions that interact with long-range forces. We…L. E. Guerrero, J. A. Gonzalez·May 27, 1999SaveLearn
Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillatorsChains of parametrically driven, damped pendula are known to support soliton-like clusters of in-phase motion which become unstable and seed spatiotemporal chaos for sufficiently large driving…N. V. Alexeeva, I. V. Barashenkov, G. P. Tsironis·May 27, 1999SaveLearn
Logarithmically Slow Expansion of Hot Bubbles in GasesWe report logarithmically slow expansion of hot bubbles in gases in the process of cooling. A model problem first solved, when the temperature has compact support. Then temperature profile decaying…Baruch Meerson, Pavel V. Sasorov, Ken Sekimoto·May 27, 1999SaveLearn
Fracture Patterns Induced by Desiccation in a Thin LayerWe study a theoretical model of mud cracks, that is, the fracture patterns resulting from the contraction with drying in a thin layer of a mixture of granules and water. In this model, we consider…S. Kitsunezaki·May 25, 1999SaveLearn
Stability of multi-hump optical solitonsWe demonstrate that, in contrast with what was previously believed, multi-hump solitary waves can be stable. By means of linear stability analysis and numerical simulations, we investigate the…Elena A. Ostrovskaya, Yuri S. Kivshar, Dmitry V. Skryabin et al.·May 22, 1999SaveLearn
Discrete breathers in systems with homogeneous potentials - analytic solutionsWe construct lattice Hamiltonians with homogeneous interaction potentials which allow for explicit breather solutions. Especially we obtain exponentially localized solutions for d-dimensional…A. A. Ovchinnikov, S. Flach·May 21, 1999SaveLearn
Resonance phenomena of a solitonlike extended object in a bistable potentialWe investigate the dynamics of a soliton that behaves as an extended particle. The soliton motion in an effective bistable potential can be chaotic in a similar way as the Duffing oscillator. We…J. A. Gonzalez, B. A. Mello, L. I. Reyes et al.·May 20, 1999SaveLearn
Soliton tunneling with sub-barrier kinetic energiesWe investigate (theoretically and numerically) the dynamics of a soliton moving in an asymmetrical potential well with a finite barrier. For large values of the width of the well, the width of the…J. A. Gonzalez, A. Bellorin, L. E. Guerrero·May 13, 1999SaveLearn
Lie-Group Approach to Perturbative Renormalization-Group MethodThe Lie-group approach to the perturbative renormalization group (RG) method is developed to obtain an asymptotic solutions of both autonomous and non-autonomous ordinary differential equations.…Shin-itiro Goto, Yuji Masutomi, Kazuhiro Nozaki·May 2, 1999SaveLearn
Spatial Optical Solitons due to Multistep CascadingWe introduce a novel class of parametric optical solitons supported simultaneously by two second-order nonlinear cascading processes, second-harmonic generation and sum-frequency mixing. We obtain,…Yuri S. Kivshar, Tristram J. Alexander, Solomon Saltiel·Apr 29, 1999SaveLearn
Stability of Compacton Solutions of Fifth-Order Nonlinear Dispersive EquationsWe consider fifth-order nonlinear dispersive K(m,n,p) type equations to study the effect of nonlinear dispersion. Using simple scaling arguments we show, how, instead of the conventional solitary…Bishwajyoti Dey, Avinash Khare·Apr 23, 1999SaveLearn
The moment method in general Nonlinear Schrodinger EquationsIn this paper we develop a new approximation method valid for a wide family of nonlinear wave equations of Nonlinear Schrödinger type. The result is a reduced set of ordinary differential equations…J. J. Garcia-Ripoll, V. M. Perez-Garcia·Apr 14, 1999SaveLearn
Optical Vortex Solitons in Parametric Wave MixingWe analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localised waves, namely,…Tristram J. Alexander, Yuri S. Kivshar, Alexander V. Buryak et al.·Apr 13, 1999SaveLearn
Bekki-Nozaki Amplitude Holes in Hydrothermal Nonlinear WavesWe present and analyze experimental results on the dynamics of hydrothermal waves occuring in a laterally-heated fluid layer. We argue that the large-scale modulations of the waves are governed by a…Javier Burguete, Hugues Chate, Francois Daviaud et al.·Apr 13, 1999SaveLearn
Chaotic behaviour of nonlinear waves and solitons of perturbed Korteweg - de Vries equationThis paper considers properties of nonlinear waves and solitons of Korteweg-de Vries equation in the presence of external perturbation. For time-periodic hamiltonian perturbation the width of the…K. B. Blyuss·Apr 6, 1999SaveLearn
Spatiotemporal chaotic dynamics of solitons with internal structure in the presence of finite-width inhomogeneitiesWe present an analytical and numerical study of the Klein-Gordon kink-soliton dynamics in inhomogeneous media. In particular, we study an external field that is almost constant for the whole system…L. E. Guerrero, A. Bellorin, J. R. Carbo et al.·Apr 6, 1999SaveLearn
Interplay between Coherence and Incoherence in Multi-Soliton ComplexesWe analyze photo-refractive incoherent soliton beams and their interactions in Kerr-like nonlinear media. The field in each of M incoherently interacting components is calculated using an integrable…Andrey A. Sukhorukov, Nail N. Akhmediev·Apr 6, 1999SaveLearn