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Breather wave molecules

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 … WebMar 1, 2024 · Breather Wave Molecules Phys Rev Lett. 2024 Mar 1;122(8):084101. doi: 10.1103/PhysRevLett.122.084101. Authors Gang Xu 1 , Andrey Gelash 2 3 , Amin …

Soliton molecules, multi-breathers and hybrid solutions in (2+1 ...

WebDec 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 … WebOct 18, 2024 · Soliton molecules (SMs) of the (2+1)—dimensional generalized Konopelchenko—Dubrovsky—Kaup—Kupershmidt (gKDKK) equation are found by utilizing a velocity resonance ansatz to N—soliton solutions, which can transform to asymmetric solitons upon assigning appropriate values to some parameters.Furthermore, a double … built in excel https://erinabeldds.com

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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 … 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 … Web2 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 ... crunch rockstar

Breather Wave Molecules — University of Arizona

Category:Rogue waves formation by solitons synchronization and ... - Springer

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Breather wave molecules

Homoclinic breather and rogue wave solutions to Maccari equation

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 … WebMay 1, 2024 · Soliton molecules of the KdVSKR equation are given by means of the velocity resonance mechanism. By selecting the values of the phases, soliton molecule bounded by the three solitons is transferred to other type of the soliton molecule bounded by the asymmetric soliton and one soliton. ... periodic solitary wave-like solution, kinky …

Breather wave molecules

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WebSep 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). WebApr 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. …

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 … WebBreather wave molecules. Phys. Rev. Letters, 122, 084101. doi:WoS: 000459920400008, Scopus: 2-s2.0-85062286404; Zakharov, V. E. (2024). Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion. J. ... Wave turbulence takes place in physical systems of nonlinear dispersive waves. In most …

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 …

WebMar 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 …

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 … crunch rocklin numberWebA 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 … built-in exception in pythonWebMar 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 … crunch rolls buffaloWebThe subject of this paper is a nonlocal higher-order Chen-Lee-Liu equation, which can be reduced from the generic deformation of generalized Kaup-Newell hierarchy involving the higher-order effects in optical fibers. With the help of the Darboux transformation, soliton molecules, breather molecules, double periodic solutions and various kinds ... crunch roller machineWebMar 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. crunch rolls near meWebAs 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 ... built in ethernet not workingWebThe formation of localized wave structures has attracted a significant research interest in a variety of conservative and dissipative systems, including photonics, plasma physics, … builtinexchangetype