2024 Breather wave molecules

Breather wave molecules

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August undefined, 2024

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 ... 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 …

- Breather, Lumps, and Soliton Molecules for the - Hindawi

WebIn many physical contexts, notably including deep-water waves, modulation instability in one space dimension is often studied by using the nonlinear Schrödinger equation. The principal solutions of interest are solitons and breathers which are adopted as models of wave packets. The Peregrine breather in particular is often invoked as a model of a … 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 … josh lederman and boyfriend

Phase Evolution of the Time- and Space-Like Peregrine Breather …

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. WebOct 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 … WebThe formation of localized wave structures has attracted a significant research interest in a variety of conservative and dissipative systems, including photonics, plasma physics, … josh ledbetter of wheaton college

Hybrid soliton and breather waves, solution molecules and breather …

Interaction phenomena between solitons, lumps and breathers

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). WebFeb 27, 2024 · Some interesting examples of the exact solutions including soliton molecules [51], breather molecules [52], double periodic solutions and various kinds of … how to lie to a friendWebBy applying the partial parametric resonance method, long wave limit method and specific parameter relationship to the N-soliton solutions, abundant nonlinear superpositions are constructed. ... [41] Yan Z.W., Lou S.Y., Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation, Commun. Nonlinear Sci. Numer. how to lie to a polygraph

"WebNov 1, 2024 · Breather molecules were recently demonstrated in a conservative optical fiber system . Numerical simulations of the laser model described by the complex … " - Breather wave molecules

Breather wave molecules

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

WebMay 1, 2024 · The phases in the soliton molecules and the multi-breathers play an important role from above analysis. By combining the long wave limit approach and the multi-order breathers, the interactions between the soliton molecule and one-order breather, and between the soliton molecule and one-order lump are given. 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 ...

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WebThe 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 ... 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 …

WebDec 1, 2024 · To cite a few examples, recent publications have examined breathers in cuprate superconductors [49], breather wave molecules [50], breather-type oscillations of the global tectonic shear stress fields [51], matter–wave breathers [52], and breathers in DNA systems [53]. 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 …

WebA 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 …

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 …

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 … josh lederman bioWebMay 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 … how to lie without smilingWebBreather 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 ... how to lie to yourselfWebOur theoretical model is confirmed by an experimental observation of shaped moleculelike breather light waves propagating in a nearly conservative optical fiber system. Our work … how to lie with statisticWebApr 22, 2024 · Many novel soliton molecules such as dark soliton molecules, dromion molecules, breather molecules, and breather-soliton molecules for continuous … how to life in little alchemy 2WebNov 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 … how to life drawingWebApr 1, 2024 · In summary, by using the extended homoclinic test combining with breather period limit method (BPLM) we obtain two families of homoclinic breather and rational … how to life coach teens