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Breather wave molecules

WebApr 22, 2024 · Many novel soliton molecules such as dark soliton molecules, dromion molecules, breather molecules, and breather-soliton molecules for continuous … 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 dynamics model, which takes into account wave dispersion and nonlinearity during wave propagation on the surface of finite and infinite depth water or in Kerr media [1,2,3].More …

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

WebNov 23, 2024 · The D’Alembert wave and a soliton molecule solution were analyzed in and various localized wave solutions were derived in . There are also other kinds of solutions … 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 … bop sis officer https://holistichealersgroup.com

Dynamics of breathers and rogue waves in scalar and …

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 ... 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 … 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 … bops in clinton ms

arXiv:2304.05799v1 [nlin.PS] 12 Apr 2024

Category:Homoclinic breather and rogue wave solutions to Maccari equation

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Breather wave molecules

Nonlinear superposition among lump soliton, stripe solitons 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 … 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 …

Breather wave molecules

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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 … 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 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 … 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).

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]. WebFeb 27, 2024 · Some interesting examples of the exact solutions including soliton molecules [51], breather molecules [52], double periodic solutions and various kinds of …

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 …

WebOur theoretical model is confirmed by an experimental observation of shaped moleculelike breather light wavespropagating in a nearly conservativeoptical fibersystem.Our … haunted bed and breakfast floridaWebNov 1, 2024 · Breather molecules were recently demonstrated in a conservative optical fiber system . Numerical simulations of the laser model described by the complex … haunted bed and breakfast in mississippiWebMar 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 … haunted bed and breakfast in memphis tnWebOur 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. bop sis technicianWebDec 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 … haunted banksWebMar 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 … haunted bed and breakfast in oklahomaWebA 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 … bops in mandeville la