Results 81 to 90 of about 28,239 (177)

Vector Soliton Fiber Lasers [PDF]

arXiv, 2011
Solitons, as stable localized wave packets that can propagate long distance in dispersive media without changing their shapes, are ubiquitous in nonlinear physical systems. Since the first experimental realization of optical bright solitons in the anomalous dispersion single mode fibers (SMF) by Mollenauer et al.
arxiv  

Spatial semiconductor-resonator solitons [PDF]

arXiv, 2002
We demonstrate experimentally and numerically the existence spatial solitons in multiple-quantum-well semiconductor microresonators driven by an external coherent optical field. We discuss stability of the semiconductor-resonator solitons over a wide spectral range around the band edge.
arxiv  

Inelastic soliton processes generated by the perturbed KdV equation [PDF]

arXiv, 2007
Perturbations commonly added to the KdV equation contain terms that represent inelastic interac-tions among KdV solitons in multiple-soliton solutions. These terms trigger the emergence of new waves in the first-order correction to the solution of the perturbed equation.
arxiv  

Scattering of Solitons and Dark Solitons by Potential Walls in the Nonlinear Schroedinger Equation [PDF]

, 2004
Scattering of solitons and dark solitons by potential walls is studied in the nonlinear Schroedinger equation under various conditions. We investigate the conditions under which solitons are split into two solitons at the potential wall. We find that a soliton can be trapped in an interspace between two potential walls.
arxiv   +1 more source

Laplacian flow of homogeneous G2-structures and its solitons [PDF]

, 2016
We use the bracket flow/algebraic soliton approach to study the Laplacian flow of $G_2$-structures and its solitons in the homogeneous case. We prove that any homogeneous Laplacian soliton is equivalent to a semi-algebraic soliton (i.e.\ a $G$-invariant $G_2$-structure on a homogeneous space $G/K$ that flows by pull-back of automorphisms of $G$ up to ...
arxiv   +1 more source

Hyperbolic Ricci solitons on perfect fluid spacetimes

AIMS Mathematics
In the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons.
S. Azami, Mehdi Jafari, Nargis Jamal, Abdul Haseeb   +3 more
semanticscholar   +1 more source

$\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds

, 2017
The object of this paper is to study $\eta$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $\eta$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $\xi$ of the $(\
Acet, Bilal Eftal, Blaga, Adara Monica, Erdoğan, Feyza Esra, Perktaş, Selcen Yüksel   +3 more
core  

On the Kinetic Properties of Solitons in Nonlinear Schrödinger Equation [PDF]

arXiv, 1996
The Boltzmann type kinetic equation for solitons in Nonlinear Schr\"{o}dinger equation has been constructed on the base of analysis of two soliton collision. Possible applications for Langmuir solitons in plasma and solitons in optic fiber are discussed.
arxiv  

Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three

, 2014
The only known example of collapsed three-dimensional complete gradient steady Ricci solitons so far is the 3D cigar soliton $N^2\times \mathbb{R}$, the product of Hamilton's cigar soliton $N^2$ and the real line $\mathbb{R}$ with the product metric.
Cao, Huai-Dong, He, Chenxu
core  

N-Dark-Dark Solitons in the Generally Coupled Nonlinear Schroedinger Equations [PDF]

arXiv, 2010
N-dark-dark solitons in the generally coupled integrable NLS equations are derived by the KP-hierarchy reduction method. These solitons exist when nonlinearities are all defocusing, or both focusing and defocusing nonlinearities are mixed. When these solitons collide with each other, energies in both components of the solitons completely transmit ...
arxiv