Soliton solutions using different methods

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August undefined, 2024

Webwe graphically demonstrate the notion of a two-soliton solution in Section 4.4.5, and qualitatively motivate the desire to produce multi-soliton solutions to the KdV equation. … WebBy 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 the conservation law of the DS system are discussed.

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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 solutions are obtained by utilizing generalized Kudryashov (GKP) and modified Kudryashov procedures (MKP). These novel concepts make use of symbolic computations to come … WebThe direct method in soliton theory. 広田良吾, 永井敦, +1 author. C. Gilson. Published 2004. Mathematics. The bilinear, or Hirota's direct, method was invented in the early 1970s as … panier cuisson riz gluant

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WebApr 10, 2024 · In the article, we present the solution of the Klein-Gordon equation by using a newly proposed semi-analytic technique entitled the Laplace Residual Power Series Method (LRPSM). 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 … 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 … paniere anatomia

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

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 … WebThe generalized shallow water like equation is investigated in this research paper. Exact solutions of generalized shallow water like equation are extracted using modified auxiliary … エックスガール福袋大人中身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 paniere amendola

"WebThe method of lines is used to transform the initial/boundary-value problem associated with the two-dimensional sine-Gordon equation in two space variables into a second-order initial-value problem. The finite-difference methods are developed by ... " - Soliton solutions using different methods

Soliton solutions using different methods

$Comparative analysis of fractional dynamical systems with various …$

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 … 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 …

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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 … Webeffective 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 …

WebThe complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi … http://www.internonlinearscience.org/upload/papers/IJNS%20Vol%2016%20No%203%20paper%201%20Dark-Bright%20Soliton%20Solutions%20for%20Some%20Evolution%20Equations.pdf

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 1, 2024 · DOI: 10.1016/J.IJLEO.2024.07.098 Corpus ID: 125250916; Optical soliton solutions to Fokas-lenells equation using some different methods …

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 …

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 ... panierebio.comWebAug 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 … エックスガール袋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 … paniere a baguetteWebRecently, many researchers have proposed various types of analytic methods to construct the soliton solutions. Unfortunately, most of these methods lead to equivalent solutions. エックスガール財布二つ折りWebac The Direct Method in Soliton Theory - Feb 11 2024 The bilinear, or Hirota's direct, method was invented in the early 1970s as an elementary means of constructing soliton solutions … エックスガール設立 paniere biochimica e campusWebIn this study, we have worked on GKM in order to obtain the soliton solutions of the generalized third-order nonlinear Schrödinger equation. Thus, we have acquired some new … paniere automazione industriale