Results 1 to 10 of about 115 (42)

Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media [PDF]

, 2007
On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically.
Molchan, Maxim A.
core   +6 more sources

An Adiabatic Invariant Approach to Transverse Instability: Landau Dynamics of Soliton Filaments [PDF]

, 2017
Assume a lower-dimensional solitonic structure embedded in a higher dimensional space, e.g., a 1D dark soliton embedded in 2D space, a ring dark soliton in 2D space, a spherical shell soliton in 3D space etc.
Carretero-Gonzalez, R., Frantzeskakis, D. J., Kevrekidis, P. G., Wang, Wenlong   +3 more
core   +3 more sources

Linearly Coupled Bose-Einstein Condensates: From Rabi Oscillations and Quasi-Periodic Solutions to Oscillating Domain Walls and Spiral Waves [PDF]

, 2004
In this paper, an exact unitary transformation is examined that allows for the construction of solutions of coupled nonlinear Schr{\"o}dinger equations with additional linear field coupling, from solutions of the problem where this linear coupling is ...
B. Deconinck, B.A. Malomed, D. J. Frantzeskakis, H. E. Nistazakis, P. G. Kevrekidis, S.V. Manakov   +5 more
core   +3 more sources

Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials [PDF]

, 2007
In this paper, we study the competition of linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a perturbative framework, whereby the technique of Hamiltonian perturbation ...
Alexander J, Alfimov G L, Belmonte-Beitia J, Bludov Yu V, C K R T Jones, Folman R, Golubitsky M, Jones C K R T, Karpman V I, Karpman V I, Kato T, Kevrekidis P G, P G Kevrekidis, Pelinovsky D E Kevrekidis P G, Pethick C J, Pitaevskii L P, Riesz F, Torres J P Konotop V V, Torres P, V V Konotop, Z Rapti   +20 more
core   +4 more sources

Discrete Nonlinear Schrodinger Equations with arbitrarily high order nonlinearities [PDF]

, 2006
A class of discrete nonlinear Schrodinger equations with arbitrarily high order nonlinearities is introduced. These equations are derived from the same Hamiltonian using different Poisson brackets and include as particular cases the saturable discrete ...
A. Scott, Avadh Saxena, Avinash Khare, Kim Ø. Rasmussen, L. D. Faddeev, Mario Salerno, Mogens R. Samuelsen   +6 more
core   +3 more sources

Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review [PDF]

, 2004
In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose-Einstein condensates in one- and two-dimensional settings.
Alfimov E. G., Bender C. M., Burger S., D. J. FRANTZESKAKIS, Donnelly R. J., Einstein A., Einstein A., Hasegawa A., Kevrekidis P. G., Kittel C., Ostrovskii L. A., P. G. KEVREKIDIS, Pitaevskii L. P., Pitaevskii L. P., Rapti Z., Sulem C., Williams J. E.   +16 more
core   +4 more sources

Two-dimensional solitary pulses in driven diffractive-diffusive complex Ginzburg-Landau equations

, 2002
Two models of driven optical cavities, based on two-dimensional Ginzburg-Landau equations, are introduced. The models include loss, the Kerr nonlinearity, diffraction in one transverse direction, and a combination of diffusion and dispersion in the other
Alexeeva, Arecchi, Arecchi, Astruc, Barashenkov, Barashenkov, Boris A Malomed, Crasovan, Deissler, Firth, Firth, Gomila, Hidetsugu Sakaguchi, Hoyulos, Izus, Kanashov, Liu, Liu, Liu, Residori, Sakaguchi, Sanchez-Morcillo, Thual, Trillo, Umbanhowar, Voss   +25 more
core   +1 more source

Soliton stripes in two-dimensional nonlinear photonic lattices

, 2003
We study experimentally the interaction of a soliton with a nonlinear lattice. We observe the formation of a novel type of composite soliton created by strong coupling of mutually incoherent periodic and localized beam components.
Chen, DelRe, Desyatnikov, Dragomir Neshev, Efremidis, Fleischer, Fleischer, Hector Martin, Klinger, Minardi, Neshev, Neshev, Petrovic, Petter, Shalaby, Yuri S. Kivshar, Zhigang Chen   +16 more
core   +3 more sources

On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation

, 2005
The cubic complex one-dimensional Ginzburg-Landau equation is considered. Using the Hone's method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave nor elliptic
A. N. W. Hone, E. Fan, E. I. Timoshkova, E. I. Timoshkova, F. Cariello, G. P. Agrawal, G. S. Santos, I. Aranson, K. Nozaki, L. A. Takhtadzhyan, L. Brusch, M. C. Cross, M. Hecke van, M. Hecke van, M. J. Ablowitz, M. Musette, N. A. Kudryashov, N. A. Kudryashov, N. N. Akhmediev, P. Painleve, R. Conte, R. Conte, R. Conte, S. Yu. Vernov, S. Yu. Vernov, S. Yu. Vernov, V. A. Vladimirov, V. L. Ginzburg, W. Saarloos van   +28 more
core   +3 more sources

Observation of discrete vortex solitons in optically-induced photonic lattices

, 2004
We report on the frst experimental observation of discrete vortex solitons in two-dimensional optically-induced photonic lattices. We demonstrate strong stabilization of an optical vortex by the lattice in a self-focusing nonlinear medium and study the ...
D. Neshev, D. V. Petrov, Dragomir N. Neshev, Elena A. Ostrovskaya, Hector Martin, Igor Makasyuk, J. Yang, M. S. Soskin, Tristram J. Alexander, V. Tikhonenko, Yu. S. Kivshar, Yuri S. Kivshar, Z. Chen, Z. Chen, Zhigang Chen   +14 more
core   +1 more source