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Solitary wave solution

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. Websolitary waves, and which can be seen as representations of the extended particles. Numerical evidence of the existence of solitary wave solutions of (MD) was ob-tained in …

Exact solitary wave solutions for a system of some nonlinear …

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 … 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) cherish henry instagram https://phillybassdent.com

Spatial dynamics and solitary hydroelastic surface waves

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 ... 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. WebDownload Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices or any other file from Books category. HTTP download also available at fast speeds. cherish health jobs

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

Category:Abundant solitary wave solutions for space-time fractional …

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Solitary wave solution

Run-up of non-breaking double solitary waves with equal wave …

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 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 …

Solitary wave solution

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

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. … WebWe are concerned with the three-component generalized Gross-Pitaevskii Equations (GGPE) in the spinor Bose-Einstein condensates with trapping potentials. Under certain conditions on trapping potentials and parameters, we establish the existence and uniqueness of corresponding standing wave solutions with behaviors tending to zero at infinity.

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 ... WebFeb 18, 2024 · Here, we represent some of our obtained solutions to show the dynamical behavior of the shallow water waves in a thin and dispersive medium. We have used 2D, …

WebOct 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) …

cherish hiltWebFeb 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 … flights from istria to osloWeb1 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 … cherish her memory