Results 11 to 20 of about 115 (42)

A KdV-like advection-dispersion equation with some remarkable properties [PDF]

open access: yes, 2012
We discuss a new non-linear PDE, u_t + (2 u_xx/u) u_x = epsilon u_xxx, invariant under scaling of dependent variable and referred to here as SIdV. It is one of the simplest such translation and space-time reflection-symmetric first order advection ...
Abhijit Sen   +13 more
core   +1 more source

Polarisation Patterns and Vectorial Defects in Type II Optical Parametric Oscillators [PDF]

open access: yes, 2001
Previous studies of lasers and nonlinear resonators have revealed that the polarisation degree of freedom allows for the formation of polarisation patterns and novel localized structures, such as vectorial defects.
A. Aumann   +62 more
core   +2 more sources

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

open access: yes, 2006
The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J   +29 more
core   +1 more source

Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques [PDF]

open access: yes, 2008
The aim of the present review is to introduce the reader to some of the physical notions and of the mathematical methods that are relevant to the study of nonlinear waves in Bose-Einstein Condensates (BECs).
Abdullaev F   +119 more
core   +4 more sources

Superlocalization reveals long-range synchronization of vibrating soliton molecules [PDF]

open access: yes, 2021
We implement a super-localization method in the time domain that allows the observation of the external motion of soliton molecules in a fiber ring cavity laser with unprecedented accuracy.
Cluzel, Benoit   +4 more
core   +2 more sources

Spatial semiconductor-resonator solitons

open access: yes, 2002
We demonstrate experimentally and numerically the existence spatial solitons in multiple-quantum-well semiconductor microresonators driven by an external coherent optical field.
Taranenko, V. B., Weiss, C. O.
core   +1 more source

Hamiltonian Hopf bifurcations in the discrete nonlinear Schr\"odinger trimer: oscillatory instabilities, quasiperiodic solutions and a 'new' type of self-trapping transition [PDF]

open access: yes, 2004
Oscillatory instabilities in Hamiltonian anharmonic lattices are known to appear through Hamiltonian Hopf bifurcations of certain time-periodic solutions of multibreather type.
Abdullaev F Kh   +47 more
core   +1 more source

Spatial Resonator Solitons

open access: yes, 2002
Spatial solitons can exist in various kinds of nonlinear optical resonators with and without amplification. In the past years different types of these localized structures such as vortices, bright, dark solitons and phase solitons have been ...
C. O. Weiss   +3 more
core   +1 more source

Auto-modulation versus breathers in the nonlinear stage of modulational instability [PDF]

open access: yes, 2018
The nonlinear stage of modulational instability in optical fibers induced by a wide and easily accessible class of localized perturbations is studied using the nonlinear Schrodinger equation.
Biondini, Gino   +3 more
core   +4 more sources

Quodons in Mica 2013 [PDF]

open access: yes, 2013
Quodons in Mica 2013 INDEX 1. Introduction. 3. JFR Archilla, SMM Coelho, FD Auret, V Dubinko and V Hizhnyakov. Experimental observation of moving discrete breathers in germanium. 5. L Brzihik.
Archilla, Juan F. R. (Coordinador)   +3 more
core  

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