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We show that bimodal systems with a spatially nonuniform defocusing cubic nonlinearity, whose strength grows toward the periphery, can support stable two-component solitons. For a sufficiently strong XPM interaction, vector solitons with…

We study the coupling between backward- and forward-propagating wave modes, with the same group velocity, in a composite right/left-handed nonlinear transmission line. Using an asymptotic multiscale expansion technique, we derive a system…

Pattern Formation and Solitons · Physics 2015-05-20 G. P. Veldes , J. Cuevas , P. G. Kevrekidis , D. J. Frantzeskakis

We theoretically study bright and dark solitons in an experimentally relevant hybrid system characterized by strong light-matter coupling. We find that the corresponding two-component model supports a variety of coexisting moving solitons…

Pattern Formation and Solitons · Physics 2022-10-11 A. V. Yulin , D. A. Zezyulin

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

Most of previously reported dark-bright solitons admit identical width for the two components in both theoretical and experimental studies. We report dark-bright solitons can admit strikingly different widths, and derive a family of…

Pattern Formation and Solitons · Physics 2024-03-20 Ning Mao , Li-Chen Zhao

Vector solitons are a type of solitary, or non-spreading wavepacket occurring in a nonlinear medium comprised of multiple components. As such, a variety of synthetic systems can be constructed to explore their properties, from nonlinear…

Quantum Gases · Physics 2020-07-22 Xiao Chai , Di Lao , Kazuya Fujimoto , Ryusuke Hamazaki , Masahito Ueda , Chandra Raman

It is shown that the pair plasmas with small temperature asymmetry can support existence of localized as well as de-localized optical vortex solitons. Coexistence of such solitons is possible due to peculiar form of saturating nonlinearity…

Plasma Physics · Physics 2013-05-29 V. I. Berezhiani , S. M. Mahajan , N. L. Shatashvili

Stable embedded solitons are discovered in the generalized third-order nonlinear Schroedinger equation. When this equation can be reduced to a perturbed complex modified KdV equation, we developed a soliton perturbation theory which shows…

Pattern Formation and Solitons · Physics 2009-11-10 J. Yang

We demonstrate the formation of multi-peak three-component stationary stripe vector solitons in a quasi-one-dimensional spin-orbit-coupled hyper-fine spin $F = 1$ polar Bose-Einstein condensate. The present investigation is carried out…

Quantum Gases · Physics 2020-02-19 S K Adhikari

The existence, stability and other dynamical properties of a new type of multi-dimensional (2D or 3D) solitons supported by a transverse low-dimensional (1D or 2D, respectively) periodic potential in the nonlinear Schr\"{o}dinger equation…

Pattern Formation and Solitons · Physics 2009-11-11 Bakhtiyor B. Baizakov , Boris A. Malomed , Mario Salerno

A theory of optical nonresonance vector pulsing solitons in a Kerr media is considered. By using the perturbative reduction method the wave equation is transformed to the coupled nonlinear Schrodinger equations. The profile of the optical…

Pattern Formation and Solitons · Physics 2018-04-10 G. T. Adamashvili , N. T. Adamashvili , M. D. Peikrishvili , R. R. Koplatadze

In this paper, an existence theory is established for ring-profiled optical vortex solitons. We consider such solitons in the context of an electromagnetic light wave propagating in a self-focusing nonlinear media and governed by a…

Mathematical Physics · Physics 2017-01-25 Luciano Medina

We study the dynamics of bright and dark matter-wave solitons in the presence of a spatially varying nonlinearity. When the spatial variation does not involve zero crossings, a transformation is used to bring the problem to a standard…

Quantum Physics · Physics 2009-11-13 S. Middelkamp , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

We find a new type of optical vector soliton that originates from trapping of a dipole mode by a soliton-induced waveguide. These solitons, which appear as a consequence of the vector nature of the two component system, are more stable than…

Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a five-fold…

Soft Condensed Matter · Physics 2009-11-11 Hidetsugu Sakaguchi , Boris A. Malomed

We investigate dark solitons in two-component Bose systems with competing interactions in one dimension. Such a system hosts a liquid phase stabilized by the beyond-mean field corrections. Using the generalized Gross-Pitaevskii equation, we…

We address the problem of existence and stability of vector spatial solitons formed by two incoherently interacting optical beams in bulk Kerr and saturable media. We identify families of (2+1)-dimensional two-mode self-trapped beams, with…

We present an approach to the bright soliton solution of the NLS equation from the standpoint of introducing a constant potential term in the equation. We discuss a `nongauge' bright soliton for which both the envelope and the phase depend…

Exactly Solvable and Integrable Systems · Physics 2016-01-12 M. A. Reyes , D. Gutierrez-Ruiz , S. C. Mancas , H. C. Rosu

We investigate, analytically and numerically, families of bright solitons in a system of two linearly coupled nonlinear Schrodinger/Gross-Pitaevskii equations, describing two Bose-Einstein condensates trapped in an asymmetric double-well…

Pattern Formation and Solitons · Physics 2015-06-26 Valery S. Shchesnovich , Boris A. Malomed , Roberto A. Kraenkel

We develop a general classification of the infinite number of families of solitons and soliton complexes in the one-dimensional Gross-Pitaevskii/nonlinear Schrodinger equation with a nonlinear lattice pseudopotential, i.e., periodically…

Pattern Formation and Solitons · Physics 2016-08-03 M. E. Lebedev , G. L. Alfimov , Boris A. Malomed