Soliton solutions using different methods

Websolitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions … 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.

Exact soliton solutions for the core of dispersion-managed solitons

WebDec 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 … 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 … howick forge gates https://armtecinc.com

Travelling (soliton) Wave solution to 1D GPE equation

WebNov 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 … WebRecently, many researchers have proposed various types of analytic methods to construct the soliton solutions. Unfortunately, most of these methods lead to equivalent solutions. WebAug 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 … howick fnf

New Solitary Wave Patterns of the Fokas System in Fiber Optics

Category:Application of the generalized unified method to solve (2+1 ...

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Soliton solutions using different methods

[PDF] The direct method in soliton theory Semantic Scholar

WebDOI: 10.1016/j.aej.2024.04.005 Corpus ID: 258121478; Novel analytical solutions of stochastic Ginzburg-Landau equation driven by Wiener process via the improved modified extended tanh function method WebApr 11, 2024 · These fractional differential equations have a significant impact on the study of fluid motion in ocean waves and the soliton theory as well; however, a serious bottleneck was hit, that is, the fractional model is extremely difficult to be solved analytically. Therefore, many scholars focused on using different methods to find fractional solitons.

Soliton solutions using different methods

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WebIn this paper, by explicitly constructing multisoliton solutions (up to four-soliton solutions) for two-coupled and arbitrary N-coupled nonlinear Schrödinger equations using the Hirota … WebSoliton. Solitary wave in a laboratory wave channel. 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 …

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 … 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 …

WebJun 28, 2024 · In this paper, the (2+1)-dimensional complex modified Korteweg-de Vries (cmKdV) equations are studied using the sine-cosine method, the tanh-coth … WebThree different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the …

WebIn 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 …

Webusing various mathematical techniques. There are soliton solutions, compactons, pekons, cuspons, stumpons, cnoidal waves, singuler solitons, and more other solutions that have … howick forest schoolWebChlorhexidine is a broad spectrum antiseptic solution; however chlorhexidine creates a precipitate when reacted with NaOCl. 14 In different studies, NaOCl and hydrogen peroxide (H 2 O 2) irrigant solutions were found to reduce the bond strength between dentin and luting resin cement and increase the microleakage. 15 The increase in the NaOCl … howick framaWebUsing these methods, Maple and Mathematica, the optical wave solutions including various types of solitons that can be useful in nonlinear optics and telecommunication industry … howick forge automationWebMar 9, 2024 · where ψ ( x, t) is the wave-function for a BEC. My aim is to find a travelling wave solution. I suspect this solution is of the form: ψ ( x, t) = f ( x − u t) e − i μ t, where μ, … high frequency dog barking deterrentWebUsing their exact soliton solutions, we construct approximate solutions of the original CH-DNLS equation, namely dark and anti-dark solitary waves. … howick f\\u0026f build itWebWe introduce a new version of the trial equation method for solving nonintegrable partial differential equations in mathematical physics. Some exact solutions including soliton … howick frama 6800Webproperties 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 … high frequency electricity