Solitary wave solution
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 … 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 …
Solitary wave solution
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WebAug 1, 2024 · Solitary wave solutions for a strain wave equation in a microstructured solid. A strain wave equation is studied, which is used to model wave propagation in … 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 …
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 WebApr 13, 2024 · Internal solitary waves (ISWs) in the South China Sea (SCS) are considerably modulated by the background currents. In this study, a three-dimensional high-resolution …
WebJun 4, 1998 · ABSTRACT. A method is proposed for obtaining traveling‐wave solutions of nonlinear wave equations that are essentially of a localized nature. It is based on the fact … 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. …
WebAbundant solitary wave solutions for space-time fractional unstable nonlinear Schrödinger equations and their applications Ambreen Sarwar, Tao Gang, Muhammad Arshad, Iftikhar Ahmed, M.O. Ahmad; Affiliations Ambreen Sarwar School of Energy and Power Engineering, Nanjing University of Science ...
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 … chill shishaWeb$\begingroup$ 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 … chill shirtWebWe present a model problem for benchmarking codes that investigate magma migration in the Earth's interior. This system retains the essential features of more sophisticated models, yet has the advantage of possessing solitary wave solutions. The ... chills honestly if i saw that damn thingWebWe 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 chills hivesWebused 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) chill shopWebOct 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 chills horror background musicWebApr 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 laboratory tests were undertaken in the wave channel of the University of Calabria, by adopting three beach slopes, three water depths and square and rectangular rigid type … grace xingxin gao beidou