Solitary wave solution

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August undefined, 2024

WebSuch waves are described by the nonlinear PDE known as the cylindrical Kadomtsev–Petviashvili (cKP) equation (alias Johnson equation). We present exact … 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 …

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WebWe also study the deformation of a solitary wave propagating over non-uniform topography and describe the process of disintegration in detail. Our numerical solutions unveil new dynamical behaviors of large amplitude internal solitary waves, to which any weakly nonlinear model is inapplicable. 展开 WebFeb 27, 2024 · The wave equation can have both travelling and standing-wave solutions. Consider a one-dimensional travelling wave with velocity v having a specific wavenumber k ≡ 2 π λ. Then the travelling wave is best written in terms of the phase of the wave as. (3.8.1) Ψ ( x, t) = A ( k) e i 2 π λ ( x ∓ v t) = A ( k) e i ( k x ∓ ω t) the party making a motion is known as the

A short overview of solitons and applications - ScienceDirect

WebThese 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. WebNov 7, 1990 · The direct algebraic method for constructing travelling wave solutions on nonlinear evolution and wave equations has been generalized and systematized. The … 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. the party may actually be the last stronghold

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Comparison study of the energy and instability of ion-acoustic solitary …

WebJun 1, 2006 · Abstract. An exact nonsingular solitary wave solution of the Schäfer-Wayne short pulse equation is derived from the breather solution of the sine-Gordon equation by … WebApr 13, 2024 · Further, we obtain the solitary wave analytical solutions to the GDFKdV and GMDFKdV equations by using the direct assumption technique. We construct the … the party line numbersWebApr 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 … the party logo

"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) " - Solitary wave solution

Solitary wave solution

Spatial dynamics and solitary hydroelastic surface waves

Weband travelling wave solutions for space–time fractional modiﬁed Benjamin–Bona–Mahony (mBBM) and mod-iﬁed nonlinear Kawahara equations. Hereafter, in this manuscript for … 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 …

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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 … 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.

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 … 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 …

WebApr 1, 2024 · A comprehensive class of new and broad-ranging exact traveling and solitary wave solutions are revealed in terms of trigonometric, rational and hyperbolic functions. The attained wave solutions are sketched graphically by using Mathematica and make a comparison to the results attained by the presented technique with other techniques 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 famous fractional wave equations including the fractional KdV–Burgers equation and the fractional approximate long water wave equation by a modified tanh-function method. The solving …

WebThe general KdV solution has two parts: a finite number of solitary waves plus a dispersing wavetrain. Except for rather special conditions, such as an initial height which is …

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. … the party lyrics childishWebMore 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. the party lineWebThe 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 … sh watchWebSep 10, 2024 · The Degasperis–Procesi (DP) equation is a significant model of shallow-water waves, which has been well investigated in the current study. Notably, the existence … sh watterson engineeringWebtions as solutions to the unapproximated reduced system which correspond to symmetric hydroeleastic solitary waves. 1Introduction 1.1The main result In this article we examine the propagation of solitary waves on the surface of an ocean under ice, regarding the water as a perfect ﬂuid in irrotational ﬂow and the ice sheet as an elastic shell the party line nashvilleWeb1 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 … the party loft chardon ohioWebJun 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 … sh watersport pieterburen