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Dissipative soliton resonance (DSR) is a promising way for high-energy pulse generation typically having a symmetrical square pulse profile. While this method is well known, the impact of third order dispersion (TOD) on DSR is yet to be…

We investigate the impact of higher-order nonlinear and dispersive effects on the onset of soliton explosions in the complex cubic-quintic Ginzburg-Landau equation. We show how the interplay of the high order effects (HOEs) results in the…

Pattern Formation and Solitons · Physics 2019-07-03 Svetlana V. Gurevich , Christian Schelte , Julien Javaloyes

Using the generalised nonlinear Schr\"odinger equation, we investigate how the effect of third-order dispersion, self-steepening, and Raman-induced-self-frequency shift have an impact on the higher-order rogue waves. We observe that…

Pattern Formation and Solitons · Physics 2022-10-04 Amdad Chowdury , Wonkeun Chang , Marco Battiato

Dynamics of solitons is considered in an extended nonlinear Schr\"odinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, third-order dispersion (TOD) and inhomogeneity…

Pattern Formation and Solitons · Physics 2016-03-01 A. V. Aseeva , L. G. Blyakhman , E. M. Gromov , V. V. Tyutin

It is well-known that third-order dispersion (TOD) never allows the continuous wave of any nonlinear Schroedinger (NLS) type system to experience modulational instability (MI). Remarkably, we demonstrate a new kind of MI induced by TOD with…

Pattern Formation and Solitons · Physics 2020-12-01 K. Tamilselvan , A. Govindarajan , T. Kanna , M. Lakshmanan , P. Tchofo-Dinda

We have investigated modulation instability in metamaterials (MM) with both cubic and quintic nonlinearities, based on a model appropriate for pulse propagation in MMs with cubic-quintic nonlinearities and higher order dispersive effects.…

Optics · Physics 2012-12-20 Manirupa Saha , Amarendra K. Sarma

We study the long-term evolution of selected hierarchical triple systems in Newtonian gravity. We employ analytic equations derived in Paper II for the evolution of orbit-averaged orbital elements for both inner and outer orbits, which…

Earth and Planetary Astrophysics · Physics 2025-07-11 Landen Conway , Clifford M. Will

We present a numerical investigation of the propagation dynamics of a truncated Airy pulse in a highly dispersive and nonlinear medium by employing the split-step Fourier transform method and look, in particular, into the effects of fourth…

Optics · Physics 2021-11-19 Deependra Singh Gaur , Ankit Purohit , Akhilesh Kumar Mishra

We study the influences to the discrete soliton (DS) by introducing linearly long-range nonlocal interactions, which give rise to the off-diagonal elements of the linearly coupled matrix in the discrete nonlinear schrodinger equation to be…

Optics · Physics 2014-11-24 Zhijie Mai , Shenhe Fu , Jianxiong Wu , Yongyao Li

In this letter, we study the higher-order effect on the third-order elastic constants (TOECs) of diamond using longitudinal stress-uniaxial strain (LSUS) approach based on density functional theory. The result shows that the higher-order…

Materials Science · Physics 2021-06-11 Mingqing Liao , Yong Liu , Yi Wang , Fei Zhou , Nan Qu , Tianyi Han , Danni Yang , Zhonghong Lai , Zi-Kui Liu , Jingchuan Zhu

We study the correspondence between modulational instability and types of fundamental nonlinear excitation in a nonlinear fiber with both third-order and fourth-order effects. Some stable soliton excitations are obtained in modulational…

Pattern Formation and Solitons · Physics 2017-04-26 Liang Duan , Li-Chen Zhao , Wen-hao Xu , Chong Liu , Zhan-Ying Yang , Wen-Li Yang

Semiconducting Transition Metal Dichalcogenides (TMDs) have significant nonlinear optical effects. In this work we have used second-harmonic generation (SHG) and the four-wave mixing (FWM) spectroscopy in resonance with the excitons in…

It is common understanding that multilayered dielectric metamaterials, in the regime of deeply subwavelength layers, are accurately described by simple effective-medium models based on mixing formulas that do not depend on the spatial…

Optics · Physics 2020-04-22 Marino Coppolaro , Giuseppe Castaldi , Vincenzo Galdi

We study the generation of dissipative solitons (DSs) in the model of the fiber-laser cavities under the combined action of cubic-quintic nonlinearity, multiphoton absorption and/or multiphoton emission (nonlinear gain) and gain dispersion.…

Optics · Physics 2017-03-08 Gurkirpal Singh Parmar , Soumendu Jana , Boris A. Malomed

While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far only for the self-focusing case. In this…

Pattern Formation and Solitons · Physics 2009-11-11 P. G. Kevrekidis , H. Susanto , Z. Chen

A class of constant-amplitude (CA) solutions of the nonlinear Schrodinger equation with the third-order spatial dispersion (TOD) and complex potentials are considered. The system can be implemented in specially designed planar nonlinear…

Optics · Physics 2017-06-28 Bin Liu , Lu Li , Boris A. Malomed

Effects of magnetic field on the quadrupolar ordering are investigated with inclusion of fluctuation of order parameters. For the simplest model with the nearest-neighbor quadrupolar interaction, the transition temperature and the specific…

Strongly Correlated Electrons · Physics 2009-10-30 Noboru Fukushima , Yoshio Kuramoto

We observe experimentally higher-order solitons in waveguide arrays with defocusing saturable nonlinearity. Such solitons can comprise several in-phase bright spots and are stable above a critical power threshold. We elucidate the impact of…

We study on rational solutions on nonzero background of coupled Sasa-Satsuma equations through Darboux transformation method, which take into account third order dispersion, the term with self-frequency shift, and the term describing…

Pattern Formation and Solitons · Physics 2014-10-07 Li-Chen Zhao , Zhan-Ying Yang , liming Ling

This paper analyzes the behaviors of solitons in even higher-order dispersive media and explores the modulational instability phenomenon in optical media. The analysis considers quadratic, quartic, and sextic dispersions with weakly…

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