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Solitary wave solution

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 … 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

New solitary wave solutions of some nonlinear models and their ...

WebStep-by-Step Solutions. Sign up. Login 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 … tdah tod https://cgreentree.com

Exact solitary wave solutions for a system of some nonlinear …

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 … WebThese traveling wave solutions include kinky dark solitary wave solution, dark solitary wave solution, bright solitary wave solution, periodic wave solution and so on, which are all depending on the initial hypothesis for the Ritz-like method. In continuation, the modulation instability is engaged to discuss the stability of the obtained solutions. WebIn present article, a research has been conducted of Caudrey-Dodd-Gibbon and Pochhammer-Chree (PC) equations, to discuss physics of these equations and to attain soliton solutions. Exp ( − φ ( ζ)) -expansion technique is used to construct solitary wave solutions. Wave transformation is applied to convert problem in the form of ordinary ... tdah top hpi

Fractional solitons: New phenomena and exact solutions

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Solitary wave solution

Persistence of solitary wave solutions to a singularly …

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

Solitary wave solution

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WebOn 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. 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 …

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 … WebNov 7, 1990 · The direct algebraic method for constructing travelling wave solutions on nonlinear evolution and wave equations has been generalized and systematized. The …

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

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 ...

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 … tdah toma remedioWebThe 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 … tdah tous pareilWebSep 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 … tdah tours