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We show how the recurrence phenomenon characteristic of the nonlinear stage of induced modulational instability in a passive fiber is affected by forcing. An additional linear amplification, even if extremely weak, induces separatrix…

Inelastic (Raman) light scattering intensities for a 42-electron quantum dot under off-resonance conditions and in different spin and angular momentum channels are computed in order to test whether final collective states become the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Augusto Gonzalez , Alain Delgado

A coherent microwave radiation, concomitant with experiments of stimulated Raman scattering (SRS) in weakly compressed hydrogen, had been observed; qualitative and quantitative results had been obtained, and are given in this article. .An…

Optics · Physics 2007-05-23 Boris Oksengorn

We construct families of one-dimensional (1D) stable solitons in two-component $\mathcal{PT}$-symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light…

Optics · Physics 2022-03-02 Gennadiy Burlak , Zhaopin Chen , Boris A. Malomed

Noise can play an important role in nonlinear pulse propagation. It is not only the origin of fluctuations in supercontinuum but can also determine the generated signal amplitude and phase, as seen in phenomena such as noise-seeded…

Optics · Physics 2025-07-08 Yi-Hao Chen , Frank Wise

Caustics are natural phenomena in which nature concentrates the energy of waves. Although, they are known mostly in optics, caustics are intrinsic to all wave phenomena. For example, studies show that fluctuations in the profile of an ocean…

Optics · Physics 2017-11-22 Akbar Safari , Robert Fickler , Miles J. Padgett , Robert W. Boyd

We report optical fiber experiments allowing to investigate integrable turbulence in the focusing regime of the one dimensional nonlinear Schr\"odinger equation (1D-NLSE). Our experiments are very similar in their principle to water tank…

Pattern Formation and Solitons · Physics 2015-04-16 Pierre Walczak , Stéphane Randoux , Pierre Suret

Optical rogue waves and its variants have been studied quite extensively in the context of optical fiber in recent years. It has been realized that dispersion management in optical fiber is experimentally much more feasible compared to its…

The physical processes associated with propagation of a high-power (power > critical power for self-focusing) laser beam in water include nonlinear focusing, stimulated Raman scattering (SRS), optical breakdown and plasma formation. The…

The Rossby wave instability, associated with density bumps in differentially rotating discs, may arise in several different astrophysical contexts, such as galactic or protoplanetary discs. While the linear phase of the instability has been…

Solar and Stellar Astrophysics · Physics 2015-06-12 H. Meheut , R. V. E. Lovelace , D. Lai

The effect of the modulation instability on the propagation of solitary waves along one-dimensional discrete nonlinear Schr\"odinger equation with cubic nonlinearity is revisited. A self-contained quasicontinuum approximation is developed…

Pattern Formation and Solitons · Physics 2009-08-21 E. Arevalo

Raman scattering is the inelastic process where photons bounce off molecules, losing energy and becoming red-shifted. This weak effect is unique to each molecular species, making it an essential tool in e.g. spectroscopy and label-free…

We study the stability of Stokes waves on a free surface of an ideal fluid of infinite depth. For small steepness the modulational instability dominates the dynamics, but its growth rate is vastly surpassed for steeper waves by an…

The occurrence of the modulational instability (MI) in transverse dust lattice waves propagating in a one-dimensional dusty plasma crystal is investigated. The amplitude modulation mechanism, which is related to the intrinsic nonlinearity…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

When the accretion disc around a weakly magnetised neutron star (NS) meets the stellar surface, it should brake down to match the rotation of the NS, forming a boundary layer. As the mechanisms potentially responsible for this braking are…

High Energy Astrophysical Phenomena · Physics 2020-07-01 Pavel Abolmasov , Joonas Nättilä , Juri Poutanen

Dispersion effects induce new instabilities and dynamics in the weakly nonlinear description of light propagation in fiber Bragg gratings. A new family of dispersive localized pulses that propagate with the group velocity is numerically…

Pattern Formation and Solitons · Physics 2015-05-13 C. Martel , M. Higuera , J. D. Carrasco

s in laser systems with two fractional-dispersion/diffraction terms, quantified by their L\'{e}vy indices, $\alpha_{1}\, \alpha_{2}\in (1, 2]$, and self-focusing or defocusing Kerr nonlinearity. Some fundamental solitons are obtained by…

Pattern Formation and Solitons · Physics 2024-09-04 Ming Zhong , Yong Chen , Zhenya Yan , Boris A. Malomed

We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of…

The nonlinear Schr\"odinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation which was first derived by means of…

Optics · Physics 2008-10-30 Jonatan Lenells

Black solitons are identical in the nonlinear Schr\"{o}dinger (NLS) equation with intensity-dependent dispersion and the cubic defocusing NLS equation. We prove that the intensity-dependent dispersion introduces new properties in the…

Analysis of PDEs · Mathematics 2022-05-23 Dmitry E. Pelinovsky , Michael Plum