Results 111 to 120 of about 2,910,723 (266)
The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley +1 more source
Interaction of vector solitons with a nonlinear interface
, 2002 We develop the analytical method of field momenta for analyzing the dynamics of optical vector solitons in photorefractive nonlinear media. First, we derive the effective evolution equations for the parameters of multi-component solitons composed of ...
Aceves +19 more
core +1 more source
Breathing dissipative solitons in optical microresonators
, 2016 Dissipative solitons are self-localized structures resulting from a double balance between dispersion and nonlinearity as well as dissipation and a driving force.
Gorodetsky, Michael +4 more
core +2 more sources
Momento, 1995 Optical solitons are infrared stable pulses whose shape and spectrum endure over thousands of kilometers. This paper presents a theoretical framework and shows a numerical simulation of solitons propagation in optical fibers.
E. Arévalo, C. Ramírez, A. Guzmán
doaj
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 +25 more
core +1 more source
Formation and Propagation of Matter Wave Soliton Trains
, 2002 Attraction between atoms in a Bose-Einstein-Condensate renders the condensate unstable to collapse. Confinement in an atom trap, however, can stabilize the condensate for a limited number of atoms, as was observed with 7Li, but beyond this number, the ...
A Görlitz +30 more
core +1 more source
, 2020 This paper applies exp-function expansion algorithm to secure to cubic-quartic dark and singular optical solitons in birefringent fibers that are studied with four forms of nonlinear refractive index.
Y. Yıldırım +7 more
semanticscholar +1 more source
Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality
, 2005 We model discrete spatial solitons in a periodic nonlinear medium encompassing any degree of transverse non locality. Making a convenient reference to a widely used material -nematic liquid crystals-, we derive a new form of the discrete nonlinear ...
Assanto, Gaetano, Fratalocchi, Andrea
core +1 more source
, 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
Spatiotemporal optical solitons
Journal of Optics B: Quantum and Semiclassical Optics, 2005 Peer ...
Malomed, B A +3 more
openaire +3 more sources