Solitary wave solution

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August undefined, 2024

Webused to obtain the new class of solutions of the ENSE (3). These solutions may be of interest in future physical experiments. Moreover, this problem is of a certain mathematical interest. We look for an analytic solution of (3) in the form of a stationary wave with a modulated phase: ϕ()() ()x,t =F x −vt exp{}i[]kx −qt +σx −vt, (4) 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 ...

New Solitary Wave Patterns of the Fokas System in Fiber Optics

WebJul 4, 2024 · In this manuscript, we utilize the algorithm of $(G'/G)$ expansion method to construct new solutions of three important models, the Ablowitz–Kaup–Newell–Segur … WebFeb 8, 2013 · The nonlinear Schrödinger (NLS) equation describes the modulational limit of many surface water wave problems. Dark solitary waves of the NLS equation asymptote to a constant in the far field and have a localized decrease to zero amplitude at the origin, corresponding to water wave solutions that asymptote to a uniform periodic Stokes wave … sharepoint list multiple choice power bi

Electron acoustic solitary waves in unmagnetized nonthermal …

WebA tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. WebMar 1, 1998 · The early history of solitons or solitary waves began in August 1834 when the Victorian Engineer John Scott Russell observed a solitary wave travelling along a Scottish canal. The definitive theory was not published until 1895 by Korteweg and de Vries, working in Amsterdam. The subject was reborn in Plasma Physics in 1958 with the discovery, by ... WebNov 7, 1990 · The direct algebraic method for constructing travelling wave solutions on nonlinear evolution and wave equations has been generalized and systematized. The … popcorn bar sign for wedding

What is the difference between the notions of travelling wave, …

Solitary wave solutions for a strain wave equation in a …

WebApr 11, 2024 · The fractional solitons have demonstrated many new phenomena, which cannot be explained by the traditional solitary wave theory. This paper studies some … Web1 day ago · The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which … sharepoint list notificationsWebSuch waves are described by the nonlinear PDE known as the cylindrical Kadomtsev–Petviashvili (cKP) equation (alias Johnson equation). We present exact … sharepoint list new item form edit

"WebNov 23, 2024 · When a solitary wave travels atop the surface of a fluid, its shape generally changes with time, with some of its components traveling at velocities slightly different than others. In nonlinear media, this spreading effect may be countered by a slimming effect stemming from the non-linearity, which generates an object with perfectly preserved … " - Solitary wave solution

Solitary wave solution

WebJan 22, 2024 · special classes of traveling wave solutions that have distinct features. These distinct features can determine the behavior of the solution, and hence the properties of the phenomena with which the NLPDE is formed [6]. The solitary waves consist of a sequence of solitary waves that propagate without changing shape or size over time. Such ... 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 …

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WebOct 6, 2024 · Keywords: exact solutions, conformable derivative, the Fitzhugh-Nagumo equation, solitary wave solution, solitons. Citation: Cevikel AC, Bekir A, Abu Arqub O and Abukhaled M (2024) Solitary wave solutions of Fitzhugh–Nagumo-type equations with conformable derivatives. Front. Phys. 10:1028668. doi: 10.3389/fphy.2024.1028668 WebDec 1, 2024 · Soliton solutions of the KdV. A solitary wave is a traveling wave consisting of a single peak or trough that propagates in isolation without change in size, shape or speed. …

Web, New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method, Eur. Phys. J. Plus. 135 (2024) 870. Google Scholar [24] Wazwaz A.M., The extended tanh method for the Zakharov-Kuznestsov(ZK) equation, the modified ZK equation, and its generalized forms, Commun. WebApr 14, 2024 · Abstract. The reduction of wave run-up induced by solitary waves at sloping beaches, by means of submerged barriers has been investigated.To this purpose, 198 …

WebFeb 1, 2024 · The solitary wave solutions for the generalized KdV equations with delay were examined in [14], [15]. The existence or persistence of the solitary wave solutions or … WebThe 3D, 2D, and contour graphs of the reported solutions are depicted under the collection of appropriate parameter values. Moreover, it is noted that the variational principle built on the Hausdorff derivative for the proposed fractal model delivers a direct convenient and efficient mathematical tool for solving nonlinear partial differential equations in the solitary wave …

WebNov 17, 2024 · In solitary wave solution something is moving forward without changing its shape. If there are two solitons moving with their different speeds then they may collide to …

WebThe study of nonlinear periodic waves has gained considerable interest within plasma physics; some examples are mentioned in[4,13-21].The properties of EAWs that propagate obliquely in magnetized plasmas composed of a cold magnetized electron fluid and a hot vortex-like distribution of electrons and ions were discussed by Mamun and Shukla,they … sharepoint list move row upWebApr 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 … popcorn bar at wedding receptionWebOct 16, 2024 · In this work, an exact solitary wave solution and a linear conservative difference scheme for solving the generalized Korteweg–de Vries–Kawahara (GKdV-K) … sharepoint list new item formWebThese waves are highly turbulent and coincide with enhanced optical backscatter, consistent with increased suspended sediments in the bottom boundary layer. Nonlinear solitary wave solutions are employed to estimate wave speeds and energy. The waves are rank ordered in amplitude, phase speed, and energy, and inversely ordered in width. popcorn bannerWebDubious solution of the RKL model. Triki and Taha [2] studied the exact analytic solitary wave solutions of the RKL model. The governing equation of the model is reduced to an ordinary differential equation in the form − 1 4 E − 1 E ξ 2 + 1 2 E ξ ξ + η 1 E + η 2 E 2 + η 3 E 3 = 0, where η 1 = ω + 2 λ k − 3 α λ 2 k α k 3, η 2 ... popcorn balls with gumdropsWebStep-by-Step Solutions. Sign up. Login sharepoint list number column no commasWebOn the instability of solitary waves solutions of the generalized Benjamin equa-tion,Adv.DiﬀerentialEquations8(2003),55–82. 245. 246 BIBLIOGRAPHY 24. Angulo, J., On the instability of solitary-wave solutions for ﬁfth-order water wave models, Electron.J.DiﬀerentialEquations(electronic)6(2003),1–18. sharepoint list number format without comma