Soliton solutions using different methods

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August undefined, 2024

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 … 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 …

Optical soliton solutions to eight order nonlinear ... - Springer

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 … 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 ... the park burlington nc restaurant

[0708.1253] How many types of soliton solutions do we know?

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 ... 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. … 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 … the park butterworth

Exact soliton solutions for the core of dispersion-managed solitons

On some new soliton solutions of (3 - Taylor & Francis

WebMar 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, … WebIn this manuscript, the novel auxiliary equation methodology (NAEM) is employed to scrutinize various forms of solitary wave solutions for the modified equal-width wave … the park by k11 selectWebeffective 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 … the park by lodha

"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 … " - Soliton solutions using different methods

Soliton solutions using different methods

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WebAug 1, 2024 · Request PDF Optical soliton solutions to Fokas-lenells equation using some different methods Dark and bright with singular solitons shall be yielded to … WebMay 24, 2024 · On some new soliton solutions of (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation using two different methods. Khalid K. Ali a …

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WebVarious methods have been used to study this equation.The solitary wave solution and periodic wave solution are obtained by using homogeneous balance method.[20]The … 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 …

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 … 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 …

Webdescribes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. … 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 and achieving metrics in customer development & discovery, value-proposition validation, market definition & sizing, customer acquisition, revenue model & competition ...

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 …

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 behaviors of various wave structures to the extended nonlinear Schrödinger equation with higher-order odd and even terms, as well as a generalized nonlinear Schrödinger equation … the park burlington nc menuWebThe 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 ... shuttle s106gWebIn 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 … shuttle run\u0027s purpose is to run agilityWebApr 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 … the park by the natural science museumWebApr 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). shuttle run times by ageWebDec 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 … shuttle r us llcWebMonika Niwas works at Department of Mathematics, Jaypee Institute of Inf and is well known for Soliton Solutions, Plasma Physics and Lie Symmetry. download . FREE Custom … shuttle run test uitleg