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Related papers: Thresholdless surface solitons

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We derive an asymptotic equation for quasi-static, nonlinear surface plasmons propagating on a planar interface between isotropic media. The plasmons are nondispersive with a constant linearized frequency that is independent of their…

Analysis of PDEs · Mathematics 2015-10-29 Ryan G. Halabi , John K. Hunter

The turbulence of capillary waves on the surface of a ferrofluid with a high permeability in a horizontal magnetic field is considered in the framework of a one-dimensional weakly nonlinear model. In the limit of a strong magnetic field,…

Fluid Dynamics · Physics 2020-02-21 Evgeny A. Kochurin

We address the stabilization of dipole solitons in nonlocal nonlinear materials by two different approaches. First, we study the properties of such solitons in thermal nonlinear media, where the refractive index landscapes induced by laser…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

Thouless pumping is a fundamental phenomenon recognized as being widespread across various areas of physics, with optics holding a particularly prominent role. Here, we study this effect for optical solitons in a medium where the refractive…

Pattern Formation and Solitons · Physics 2025-07-09 Fangwei Ye , Aidar H. Ryazhapov , Yaroslav V. Kartashov , Vladimir V. Konotop

We demonstrate that an array of discrete waveguides on a slab substrate, both featuring the $\chi^{2}$ nonlinearity, supports stable solitons composed of discrete and continuous components. Two classes of fundamental composite solitons are…

Pattern Formation and Solitons · Physics 2009-11-11 Nicolae C. Panoiu , Richard M. Osgood , Boris A. Malomed

The topological properties of a magnetized cold gaseous plasma have recently been explored and the existence of topologically protected edge states has been established. These studies are limited to a magnetized plasma, where ions are…

Plasma Physics · Physics 2025-02-10 Roopendra Singh Rajawat , Tianhong Wang , Gennady Shvets

The weakly nonlinear dynamics of the free surface of a dielectric liquid in an electric field directed tangentially to the unperturbed boundary is investigated numerically. Within the framework of the strong field model, when the effects of…

Fluid Dynamics · Physics 2022-11-28 Evgeny A. Kochurin , Olga V. Zubareva , Nikolay M. Zubarev

We analyze nonlinear collective effects near surfaces of semi-infinite periodic systems with multi-gap transmission spectra and introduce a novel concept of multi-gap surface solitons as mutually trapped surface states with the components…

Surface magnetization waves are studied on a semi-infinite magnetic medium in the perpendicular geometry. Both superconducting and insulating ferromagnets are considered. Exchange and dipole energies are taken into account, as well as…

Strongly Correlated Electrons · Physics 2009-11-11 V. Braude , E. B. Sonin

We report results for solitons in models of waveguides with focusing or defocusing saturable nonlinearity and a parity-time(PT )-symmetric complex-valued external potential of the Scarf-II type. The model applies to the nonlinear wave…

Optics · Physics 2018-04-11 Pengfei Li , Dumitru Mihalache , Boris A. Malomed

Using a two-fluid approach, we consider the properties of relativistically nonlinear (arbitrary $a_0$), circularly polarized \EM\ waves propagating along magnetic field in electron-ion and pair plasmas. Dispersion relations depend on how…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Maxim Lyutikov

We show that the geometrically-induced potential existing in undulated slab waveguides dramatically affects the properties of solitons. In particular, whereas solitons residing in the potential maxima do not feature power thresholds and are…

It is commonly held that a necessary condition for the existence of solitons in nonlinear-wave systems is that the soliton's frequency (spatial or temporal) must not fall into the continuous spectrum of radiation modes. However, this is not…

Pattern Formation and Solitons · Physics 2009-10-31 A. R. Champneys , B. A. Malomed , J. Yang , D. J. Kaup

Surface plasmons in graphene may provide an attractive alternative to noble-metal plasmons due to their tighter confinement, peculiar dispersion, and longer propagation distance. We present theoretical studies of the nonlinear difference…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Xianghan Yao , Mikhail Tokman , Alexey Belyanin

We found an amazingly simple general "all-band" intensity profile of bandgap (Bragg) solitons for arbitrary parameters of spatially-periodic nonlinear systems, similar to those of multi-frequency stimulated Raman scattering, in particular…

Optics · Physics 2015-04-21 A. E. Kaplan

We investigate how Rayleigh waves interact with modulated resonators located on the free surface of a semi-infinite elastic medium. We begin by studying the dynamics of a single resonator with time-modulated stiffness. In particular, we…

Applied Physics · Physics 2020-10-16 Antonio Palermo , Paolo Celli , Behrooz Yousefzadeh , Chiara Daraio , Alessandro Marzani

We review studies of superintense laser interaction with solid targets where the generation of propagating surface plasmons (or surface waves) plays a key role. These studies include the onset of plasma instabilities at the irradiated…

Optics · Physics 2018-04-18 A. Macchi

The manipulation of acoustic wave propagation in fluids has numerous applications, including some in everyday life. Acoustic technologies frequently develop in tandem with optics, using shared concepts such as waveguiding and metamedia. It…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Zhaoju Yang , Fei Gao , Xihang Shi , Xiao Lin , Zhen Gao , Yidong Chong , Baile Zhang

We consider the free boundary problem for two layers of immiscible, viscous, incompressible fluid in a uniform gravitational field, lying above a general rigid bottom in a three-dimensional horizontally periodic setting. We establish the…

Analysis of PDEs · Mathematics 2015-10-07 Yanjin Wang , Ian Tice , Chanwoo Kim

A mechanism of resonant excitation of surface magnetoplasmons (SMPs) is proposed in the terahertz (THz) frequency range by {\emph{beating of two p-polarized lasers}}, obliquely incident at an angle $\theta$ on a graphene sheet deposited…

Plasma Physics · Physics 2026-05-28 Rohit Kumar Srivastav , Mrityunjay Kundu
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