Soliton solutions using different methods

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August undefined, 2024

Webdescribes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. … WebHence, only numerical DM soliton solutions are being derived using the averaging method @5#. To analytically describe the evolution of the parameters of the DM solitons, the …

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WebSep 17, 2024 · This subsection addresses the physical and geometrical interpretations of solutions of KFGE by using the SSM. The advantage of the used method is that it provides … WebFor the first time, these two notable 2D equations are attempted to be solved using three compelling pseudo-spectral/finite difference approaches, namely the split-step Fourier transform (SSFT), Fourier pseudo-spectral method (FPSM), and the hopscotch method (HSM). A bright 1-soliton solution is considered for the 2D NLSE, whereas a Gaussian ... china h frame scaffolding factory

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WebApr 11, 2024 · Solitary wave solutions form a special class of solutions of the model equations considered in this paper. The results reveal that the proposed method simulates this kind of solutions with high accuracy. Also, the method is able to simulate the collision of two soliton solutions, provided they are initially located far enough from each other. WebMay 11, 2016 · I am a problem solver and math junkie. I seek out work in any field where my skills and talents can make a difference. If there is a problem that interests me I want to learn about it and solve it ... WebApr 4, 2024 · Lastly, the soliton solutions obtained are presented by graphs in two and three dimensions, which present different kinds of solitons such as dark, periodic, exponential, … graham norton show hugh laurie

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The solution of the two-dimensional sine-Gordon equation using …

WebRecently, many researchers have proposed various types of analytic methods to construct the soliton solutions. Unfortunately, most of these methods lead to equivalent solutions. WebApr 11, 2024 · The purpose of this study is to introduce a new extension method named the generalized unified method (GUM) and apply this method to the the (2+1) dimensional Kundu–Mukherjee–Naskar (KMN) equation. The GUM as a powerful method provides more general exact solutions for nonlinear partial differential equations (NPDEs) in a compact … graham norton show iplayerWebeffective solutions, and are aware of the tools and techniques of managing the process of innovation to mitigate and reduce risks. They innovate and design solutions by setting and achieving metrics in customer development & discovery, value-proposition validation, market definition & sizing, customer acquisition, revenue model & competition ... china hexi carbon

"WebAug 19, 2024 · This strategy has likewise been utilized to research different models in different articles. In addition, by applying the NAEM, exact solutions to the WBBM … " - Soliton solutions using different methods

Soliton solutions using different methods

Frontiers Soliton Dynamics of the Generalized Shallow Water Like …

Webproperties of soliton are: 1. It does not change shape. 2. In a region of space is limited. 3. After dealing with other solitons, keep its shape. Mathematically, there is a di erence … Web2 days ago · Abstract. An integrable time-discretization of the Ito equation is presented. By use of Hirota’s bilinear method, the Bäcklund transformation, Lax pair and soliton solutions to the semi-discrete system are also derived. Since the integrable time-discrete system converges to the continuous Ito equation when the step size tends to zero and ...

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WebAbstract. In this work, we propose a new improved modified generalized sub-ODE method for constructing new solitons and traveling wave solutions, and also show the dynamical … WebNov 1, 2024 · DOI: 10.1016/J.IJLEO.2024.07.098 Corpus ID: 125250916; Optical soliton solutions to Fokas-lenells equation using some different methods …

WebExact wave solutions of the fourth order non-linear partial differential equation of optical fiber pulses by using different methods. Optik., 166313 (2024) ... Soliton solutions and fractional effects to the time-fractional modified equal width equation. Alexandria Eng. J., 61 (12) (2024), pp. 12539-12547. Google Scholar WebUsing their exact soliton solutions, we construct approximate solutions of the original CH-DNLS equation, namely dark and anti-dark solitary waves. …

WebApr 11, 2024 · In February, Kaspersky experts discovered an attack using zero-day vulnerability in the Microsoft Common Log File System (CLFS). A cybercriminal group used an exploit developed for different versions and builds of Windows OS including Windows 11 and attempted to deploy Nokoyawa ransomware. Microsoft assigned CVE-2024-28252 to … WebApr 11, 2024 · In this paper, we use two efficient mathematical approaches to obtain a variety of soliton solutions to the (3+1)-dimensional Schrödinger equation: the generalized Riccati equation mapping method and the newly proposed modified generalized exponential rational function method. These techniques extracted standard, illustrative, rich …

WebWe introduce a new version of the trial equation method for solving nonintegrable partial differential equations in mathematical physics. Some exact solutions including soliton …

WebApr 13, 2024 · POC vs POV: Benefits. Both POC and POV have their advantages in solution selling. A POC can help you build trust and credibility with your prospect, especially if they have doubts about the ... graham norton show lady blackbirdWebNov 1, 2024 · In order to construct the solutions of Eq. (1) by the trial equation method, the solution form will be assumed as (6) q ( x, t) = Q ( ζ) e i ϕ ( x, t), where the transformation ζ … china hex screw cheap priceWebIn this article, first integral method (FIM) is used to acquire the analytical solutions of (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equation. New … chinah hoursWebSensitive analysis of soliton solutions of nonlinear Landau-Ginzburg-Higgs equation with generalized ... 2-D and contour visualization to investigate the impact of different involved … graham norton show johnny depp ricky gervaisWebBy using the simplest equation method, we find exact traveling wave solutions and a general form of the multiple-soliton solution of the DS model. The dispersion analysis as well as … china hibachi buffet lufkin tx cats foundWebDec 22, 2024 · We aimed in this paper to acquire the periodic wave solutions and soliton solutions and other solutions such as kink-wave solutions for the cubic nonlinear … graham norton show last fridayWebAug 9, 2007 · Download PDF Abstract: We consider several ways of how one could classify the various types of soliton solutions related to nonlinear evolution equations which are … graham norton show live