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Spin-$s$ light dark boson particles can exhibit wave-like behavior, capable of forming long-lived, coherent, spatially localized structures known as solitons. This work considers the possibility that a light spin-2 particle might be part of…

High Energy Physics - Phenomenology · Physics 2025-09-03 Enrico D. Schiappacasse

Solitons are wavepackets that resist dispersion through a self-induced potential well. They are studied in many fields, but are especially well known in optics on account of the relative ease of their formation and control in optical fiber…

Optics · Physics 2017-02-01 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

Bound states of solitons, alias soliton molecules (SMs), are well known in one-dimensional (1D) systems, while making stable bound states of multidimensional solitons is a challenging problem because of the underlying instabilities. Here we…

Optics · Physics 2022-08-10 Lu Qin , Chao Hang , Boris A. Malomed , Guoxiang Huang

We characterize the full family of soliton solutions sitting over a background plane wave and ruled by the cubic-quintic nonlinear Schroedinger equation in the regime where a quintic focusing term represents a saturation of the cubic…

Pattern Formation and Solitons · Physics 2015-06-03 M. Crosta , A. Fratalocchi , S. Trillo

Discrete fundamental and dipole solitons are constructed, in an exact analytical form, in an array of linear waveguides with an embedded $\mathcal{PT}$-symmetric dimer, which is composed of two nonlinear waveguides carrying equal gain and…

We predict that strong coupling between waveguide photons and excitons of quantum well embedded into waveguide results in the formation of hybrid dark and anti-dark light-matter solitons. Such temporal solitons exist due to interplay…

Optics · Physics 2016-05-04 Yaroslav V. Kartashov , Dmitry V. Skryabin

We quantify noise-induced phase deviations of dispersion-managed solitons in optical fiber communications and femtosecond lasers. We first develop a perturbation theory for the dispersion-managed nonlinear Schrodinger equation (DMNLSE) in…

Pattern Formation and Solitons · Physics 2009-07-15 Elaine Spiller , Gino Biondini

We explore stability regions for solitons in the nonlinear Schrodinger equation with a spatially confined region carrying a combination of self-focusing cubic and septimal terms, with a quintic one of either focusing or defocusing sign.…

Quantum Gases · Physics 2017-08-02 H. Fabrelli , J. B. Sudharsan , R. Radha , A. Gammal , Boris A. Malomed

We investigate theoretically a fiber laser passively mode-locked with nonlinear polarization rotation. A unidirectional ring cavity is considered with a polarizer placed between two sets of a halfwave plate and a quarterwave plate. A master…

The effect of dispersion or diffraction on zero-velocity solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes. The…

Optics · Physics 2009-10-31 Alan R Champneys , Boris A Malomed , Mark J friedman

We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of…

We consider the stability and dynamics of multiple dark solitons in cigar-shaped Bose-Einstein condensates (BECs). Our study is motivated by the fact that multiple matter-wave dark solitons may naturally form in such settings as per our…

We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schr\"{o}dinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arbitrary finite superposition of {\em…

Pattern Formation and Solitons · Physics 2007-05-23 D. E. Pelinovsky , P. G. Kevrekidis , D. J. Frantzeskakis

Astrophysical observations suggest the existence of an unknown kind of matter in the Universe, in the frame of the $\Lambda$CDM model. The research field of dark matter covers an energy scale going from massive objects to ultra-light scalar…

Instrumentation and Methods for Astrophysics · Physics 2025-07-14 Yara Hariri , Jacques Millo , Clément Lacroûte , Joannès Barbarat , Yann Kersalé , Jonathan Gillot

Dynamics of vector dark solitons in two-component Bose-Einstein condensates is studied within the framework of the coupled one-dimensional nonlinear Schr\"odinger (NLS) equations. We consider the small amplitude limit in which the coupled…

Other Condensed Matter · Physics 2009-11-11 V. A. Brazhnyi , V. V. Konotop

An external-cavity diode laser is reported with ultralow noise, high power coupled to a fiber, and fast tunability. These characteristics enable the generation of an optical frequency comb in a silica micro-resonator with a single-soliton…

We consider a family of regularized defocusing nonlinear Schrodinger (NLS) equations proposed in the context of the cubic NLS equation with a bounded dispersion relation. The time evolution is well-posed if the black soliton is perturbed by…

Analysis of PDEs · Mathematics 2023-04-12 Dmitry E. Pelinovsky , Michael Plum

We investigate bright and dark solitons with anomalous or normal dispersion and under transverse harmonic confinement. In matter waves, positive atomic mass implies anomalous dispersion (kinetic spreading) while negative mass gives normal…

Other Condensed Matter · Physics 2009-11-11 L. Salasnich , A. Parola , L. Reatto

In a recent one-dimensional numerical fluid simulation study [Saxena et al., Phys. Plasmas 13,032309 (2006)], it was found that an instability is associated with a special class of one-dimensional nonlinear solutions for modulated light…

Plasma Physics · Physics 2008-09-12 Vikrant Saxena , Amita Das , Sudip Sengupta , Predhiman Kaw , Abhijit Sen

The nonlinear coupling between the light beams and non-resonant ion density perturbations in a plasma is considered, taking into account the relativistic particle mass increase and the light beam ponderomotive force. A pair of equations…

Pattern Formation and Solitons · Physics 2009-11-07 P. K. Shukla , R. Fedele , M. Onorato , N. L. Tsintsadze