Solitary wave solution
WebDubious 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 ... In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. (Dispersive effects are a property of certain systems where the … See more A single, consensus definition of a soliton is difficult to find. Drazin & Johnson (1989, p. 15) ascribe three properties to solitons: 1. They are of permanent form; 2. They are localized within a region; See more In 1834, John Scott Russell describes his wave of translation. The discovery is described here in Scott Russell's own words: I was observing the … See more Solitons may occur in proteins and DNA. Solitons are related to the low-frequency collective motion in proteins and DNA. A recently developed model in neuroscience proposes that signals, in the form of density waves, are conducted within neurons in the … See more In magnets, there also exist different types of solitons and other nonlinear waves. These magnetic solitons are an exact solution of classical nonlinear differential equations — … See more Dispersion and nonlinearity can interact to produce permanent and localized wave forms. Consider a pulse of light traveling in glass. This pulse can be thought of as consisting of light of several different frequencies. Since glass shows dispersion, these … See more Visionary american artist Paul Laffoley painted "The Solitron" (1997), in which he depicted the soliton wave as a neoalchemichal way … See more Solitons can occur in materials, such as ferroelectrics, in the form of domain walls. Ferroelectric materials exhibit spontaneous … See more
Solitary wave solution
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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 ... WebDec 18, 2024 · The solitary wave solutions are determined including free parameters. Setting definite values of the unknown parameters yield useful and stable solitary wave …
WebThe evolution and run-up of double solitary waves on a plane beach were studied numerically using the nonlinear shallow water equations (NSWEs) and the Godunov scheme. The numerical model was validated through comparing the present numerical results with analytical solutions and laboratory measurements available for propagation and run-up of … 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
WebMore importantly, a new type of solitary wave solution possessing both valley and peak, named as breather in physics, which corresponds to a big homoclinic loop of the associated dynamical system is observed. It reveals an exotic phenomenon and exhibits rich dynamics of the perturbed nonlinear wave equation. WebNew solitary wave and other exact solutions of the van der Waals normal form for granular materials. Journal of Ocean Engineering and Science 2024 Journal article DOI: 10.1016/J.JOES.2024.07.009 WOSUID: WOS:000789863600007 Contributors ...
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 …
Weband travelling wave solutions for space–time fractional modified Benjamin–Bona–Mahony (mBBM) and mod-ified nonlinear Kawahara equations. Hereafter, in this manuscript for … hiding monitor on teamviewer 12WebFeb 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 … hiding mouth emojiWebWe develop new analytic descriptions for solitary waves (SWs) and SW-like objects in the non-integrable and strongly nonlinear β-Fermi-Pasta-Ulam-Tsingou (β-FPUT) system for various strengths of the how far away is texas from georgiaWebThe ninth-order solution, together with convergence improvement techniques, is used to obtain an amplitude of 0.85for the solitary wave of greatest height and to obtain refined … hiding mounted sound bar wiresWebNov 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 … hiding mounted tv wiresWeb$\begingroup$ A solitary wave is usually thought as something that looks like a one soliton solution but unlike a soliton, a solitary wave is a solution to a non integrable nonlinear … hiding money in underwearWebThe 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 … hiding money in offshore accounts