Breather wave molecules

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August undefined, 2024

WebMar 23, 2024 · Theoretical and experimental studies of breather wave molecules. Gang Xu; Andrey Gelash; Amin Chabchoub; Vladimir Zakharov; Bertrand Kibler. Optics InfoBase Conference Papers, 2024. Phase evolution of Peregrine-like solitons in … WebOur theoretical model is confirmed by an experimental observation of shaped moleculelike breather light waves propagating in a nearly conservative optical fiber system. Our work sheds new light on the existence of localized wave structures and recurrence dynamics beyond the multisoliton complexes. Original language.

Breather molecules and localized interaction solutions in the (2+1

WebAs a special example, a special Peregrine rogue wave is generated by a breather solution and phase solution, which is given by the trivial seed (zero solution). ... [35] [36]. In addition, the interest in two soliton solution stems not only from soliton molecules [37] [38] [39] in modern nonlinear optics, but also from its application, such as ... WebFeb 12, 2024 · In fact, soliton molecules can be regarded as several waves with the same velocity. In \((2+1)\)-dimensional integrable system, soliton molecules include line wave … cygwin and git

Breather Wave Molecules - NASA/ADS

WebApr 3, 2024 · Exploring new nonlinear wave solutions to integrable systems has always been an open issue in physics, applied mathematics, and engineering. In this paper, the Maccari system, a two-dimensional analog of nonlinear Schr o ̈ dinger equation, is investigated. The system is derived from the Kadomtsev–Petviashvili (KP) equation and … WebMar 1, 2024 · The breather wave solutions are derived using the Cole–Hopf transformation. In addition, by means of new conservation theorem, we construct conservation laws … WebFeb 27, 2024 · Our theoretical model is confirmed by an experimental observation of shaped moleculelike breather light waves propagating in a nearly conservative optical fiber system. Our work sheds new light on the existence of localized wave structures and recurrence … cygwin apache2

On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave …

Vladimir E Zakharov UA Profiles - University of Arizona

WebApr 22, 2024 · Many novel soliton molecules such as dark soliton molecules, dromion molecules, breather molecules, and breather-soliton molecules for continuous … WebApr 7, 2024 · The modelling of Peregrine solitons and Peregrine-like solitons has been well explained by the interactions of solitary wave structures: collision of multi-breather solutions [11,12,13], multiphase solutions [21,22,23], and solitons [25, 26]. Based on the relationship between the breather and the two solitons: breather solution can be a special ... cygwin appWebA vector modified Yajima–Oikawa long-wave–short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and generalized Darboux transformations for the vector modified Yajima–Oikawa long … cygwin and ssh

"WebNov 1, 2024 · Breather molecules were recently demonstrated in a conservative optical fiber system . Numerical simulations of the laser model described by the complex Ginzburg-Landau equation support our experimental findings. ... Furthermore, solely changing the pump strength to access the breather regime from continuous-wave mode locking in our … " - Breather wave molecules

Breather wave molecules

WebApr 11, 2024 · The Fokas system, which models wave dynamics using a single model of fiber optics, is the design under discussion in this study. Different types of solitary wave solutions are obtained by utilizing generalized Kudryashov (GKP) and modified Kudryashov procedures (MKP). These novel concepts make use of symbolic computations to come … WebNov 1, 2024 · Breather molecules were recently demonstrated in a conservative optical fiber system . Numerical simulations of the laser model described by the complex …

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WebBreather Wave Molecules. (36 citations) Breather Wave Molecules. (36 citations) In his most recent research, the most cited papers focused on: Quantum mechanics; Mathematical analysis; Electron; His primary areas of investigation include Integrable system, Nonlinear system, Korteweg–de Vries equation, Classical mechanics and Nonlinear ... WebFeb 1, 2024 · Using those solutions, we present the (1) elastic interaction between the two solitary waves with a short stem, (2) elastic interaction between the two solitary waves with a long stem, (3) fission between the two solitary waves, (4) fusion between the two solitary waves, (5) one breather wave, (6) elastic interaction between the two breather ...

Webimportance such as rogue wave events [12{14], breather molecules [15], chess-board-like patterns [16], breather turbulence [17], higher-order modulation instability (MI) [18,19], and the MI where small periodic modulation is additionally localised in transverse direction. The latter leads to the excitation of super-regular (SR) breathers [20].

WebThe nonlinear Schrödinger equation (NLSE) is a simple but powerful framework in the description of weakly nonlinear waves. It can be regarded as the lowest-order wave … WebMar 5, 2024 · This well property admits us to acquire the hybrid soliton and breather wave. Our main novelties in this work are in three aspects: (i) The hybrid soliton and breather waves are observed. (ii) The soliton molecules and corresponding constrain conditions are obtained under all the coordinates. (iii) The breather molecules are found.

WebApr 7, 2024 · 报告题目1：可积深度学习(Integrable Deep Learning )---PINN based on Miura transformations and discovery of new localized wave solutions报告人1：陈勇教授(华东师范大学)报告时间：2024年4月8日（星期六）上午8：10-8：50报告题目2：Defocusing NLS equation with nonzero background: Painleve asymptotics in transition region报告人2：范 …

WebJun 13, 2024 · The modified Korteweg–de Vries–sine-Gordon (mKdV–sG) equation is one of the models describing few-cycle-pulse optical solitons beyond the slowly varying … cygwin argument list too longWeb2 days ago · Breather Wave Molecules. Article. Full-text available. Feb 2024; ... the experimental observation of optical breather molecules and the real-time detection of their dynamics are limited to ... cygwin app downloadWebMar 31, 2024 · In addition, we can see that μ 1 can control the distance between a first-order rogue wave and a breather. In particular, as a 1 → 0, the breather wave yields a bright … cygwin apacheWebOct 1, 2024 · It is widely known that soliton molecules and solitonbreather molecules [4,22, 23] have been extensively studied in many papers, but the lump-breather molecules … cygwin applicationWebDec 31, 2024 · The Hirota’s bilinear method is used to determine the N-soliton solutions of the combined KP3 and KP4 equation, from which the M-lump solutions that decay to zero in all directions in the plane are obtained by using long wave limit when \(N=2M\).Then, we discuss some novel hybrid solutions between lumps, breathers and solitons. In order to … cygwin apps python essentialWebSep 1, 2024 · The DT is then utilized to construct various exact solutions including bright-soliton, dark-soliton, breather and rogue wave solutions to the CCSP equation. In case of vanishing boundary condition (VBC), we perform the inverse scattering analysis. Breather and rogue wave solutions are constructed under non-vanishing boundary condition (NVBC). cygwin archiveWebApr 17, 2024 · The properties of an oscillating wave packet (breather) have been considered within the modified Korteweg–de Vries equation, which is usually used to describe wave processes in isotropic media, including internal waves in fluids with symmetric stratification. ... Zakharov, V.; Kibler, B. Breather wave molecules. Phys. … cygwin arm cross compiler