2024 Generalized sixth-order dispersion solitons

Generalized sixth-order dispersion solitons

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WebJun 21, 2024 · We show that the generalized nonlinear Schrödinger equation (GNLSE) with quartic dispersion supports infinitely many multipulse solitons for a wide parameter range of the dispersion terms. WebDec 1, 2024 · However, in 2016 Blanco-Redondo et al. revealed that the quartic dispersion is beneficial and plays a critical role in forming the pure-quartic solitons (PQSs), which arise purely from a balance of the negative quartic dispersion and the Kerr nonlinear effect and are firstly found to exist in the silicon photonic crystal waveguide [12].

Phys. Rev. A 105, 023501 (2024) - Generalized sixth-order …

WebA simulated example was conducted where 13 signals of the generalized Gaussian distribution, each with a different value of the parameter α, respectively, equal to 0.1, 0.3, … WebGeneralization definition, the act or process of generalizing. See more. is crsc retroactive

Solitons for a generalized sixth-order variable-coefficient …

WebPublications for Martijn de Sterke 2024 - sydney.edu.au ... WebMay 4, 2024 · The objective of this paper is to investigate the dynamics of the (3+1)D spatiotemporal dissipative optical necklace- ring, vortex and cluster solitons in non-Kerr nonlinear media, with higher-order effects such as septic nonlinearity, self- steepening, Raman effect and dispersion terms up to sixth- order in the frame of the higher-order … WebDec 1, 1996 · This standard view of DSWs substantially alters for nonlinear, dispersive wave equations with non-convex dispersion. This non-convex dispersion allows dispersive … rvc richmond volleyball club

Professor Martijn de Sterke - The University of Sydney

WebApr 17, 2024 · A family of solitons in fourth-order dispersive Kerr media is predicted and thoroughly analyzed. The found solutions unify many previously known classes of … WebThe meaning of GENERALIZATION is the act or process of generalizing. How to use generalization in a sentence. is crsp stock a good buyWebAug 15, 2001 · The generalized virial relation is derived, which describes the combined influence of linear and nonlinear effects on the evolution of the wave packet envelope and predicts the main features of steady soliton solutions, which have been shown to be in good agreement with the numerical results. 26 is crsc taxed

"WebMay 27, 2024 · In this paper, we present new numerical results for the dispersive optical soliton solutions of the nonlinear Schrödinger-Hirota equation. The spatio-temporal dispersion term is included, in addition to group velocity … " - Generalized sixth-order dispersion solitons

Generalized sixth-order dispersion solitons

Infinitely many multipulse solitons of different symmetry types in …

WebMar 13, 2024 · In this article, the nonlinear Schrödinger equation with higher order dispersion and nonlinear terms have been discussed analytically using extended Fan sub-equation method. The results hold numerous traveling wave solutions like optical, bright, dark, explicit, periodic and combined wave solutions with the aid of five parameters that … WebTherefore, the additional dispersion effects are from inter-modal dispersion (IMD), third-order dispersion (3OD), fourth-order dispersion (4OD), fifth-order dispersion (5OD) and sixth-order dispersion (6OD). It must be noted that soliton dynamics is studied with monomode fibers while IMD is typically considered in the context of multi-mode fibers.

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WebIn this context, sixth-order dispersion (6OD), fifth-order dispersion (5OD), fourth-order dispersion (4OD), third-order dispersion (3OD), and intermodal dispersion (IMD) terms are considered, in addition to the pre-existing CD, which together makeup the HD solitons to provide the necessary delicate balance between self-phase modulation (SPM) and … WebGeneralized sixth-order dispersion solitons . Physical Review A. Feb 2, 2024. C. Martijn de Sterke, Tristram J. Alexander +1 more . Share. Copy paper link. Share via. Email. …

WebSep 26, 2024 · Interactions between solitons are presented, and the soliton stability is discussed through adjusting the values of dispersion and nonlinear effects. Results may … WebSep 1, 2024 · It has been found that the coefficient of sixth-order dispersion term, r 1 (x), and gain function, ρ(x), affect the intensity and velocity of optical solitons significantly. …

WebFeb 4, 2024 · The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule and asymmetric soliton of the higher … WebMar 1, 2024 · In this work, we have systematically analyzed the propagations of the pulse soliton in the generalized NLS equation with third- and fourth-order dispersion and …

WebIn this context, sixth-order dispersion (6OD), fifth-order dispersion (5OD), fourth-order dispersion (4OD), third-order dispersion (3OD), and intermodal dispersion (IMD) terms are...

WebGeneralized sixth-order dispersion solitons. Physical Review A, 105 (2), A32. [More Information] Runge, A., Long Qiang, Y., Alexander, T., de Sterke, C. (2024). Linear pulse propagation with high-order dispersion. Journal of Optics, 24 (11). [More Information] show 249 more Conferences rvc rockfordWebMar 31, 2024 · We study different types of solitons of a generalized nonlinear Schrödinger equation (GNLSE) that models optical pulses traveling down an optical waveguide with quadratic as well as quartic dispersion. is crsr a buyWebAbstract. In this work, we propose a new improved modified generalized sub-ODE method for constructing new solitons and traveling wave solutions, and also show the dynamical behaviors of various wave structures to the extended nonlinear Schrödinger equation with higher-order odd and even terms, as well as a generalized nonlinear Schrödinger … is crt a good stockWebDec 10, 2024 · Exact solutions of embedded solitons described by fourth-, sixth-, eighth and tenth-order equations are found using the modified algorithm of the simplest equation method. New solutions for embedded solitons of generalized nonlinear Schrödinger equations with several extremes are obtained. 1 rvc scheduleWebFeb 2, 2024 · Download Citation Generalized sixth-order dispersion solitons Encouraged by recent experimental breakthroughs, we investigate the types of bright solitons … rvc schools calendarWebJun 1, 2024 · In order to demonstrate the double hump soliton structure, we have attained two soliton solutions (6) by putting n = 2 in the generalized solution (5). is crsed split screenWebmodel, in the presence of the sixth-order dispersion term. The solitary wave ansatz method is used as well to obtain bright, singular, and dark soliton solutions. Parametric conditions for the existence of the exact solutions are given. The obtained results show that the generalized Pochhammer–Chree equation with sixth order dispersion reveals rvc school email