Soliton solutions using different methods
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 … 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 ...
Soliton solutions using different methods
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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 … WebAug 26, 2024 · of physics and engineering areas where soliton type solutions are well known. Ansatz techniques and He’s Semi-Inverse method are two of the most well-known …
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 … WebFig. 1. Experimental setup for dual-soliton generation and ranging measurement. (A) The dual-soliton generation setup (left) and LIDAR setup (right). A fiber laser at 1550 nm is …
WebIn 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 … 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 …
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 ...
WebNov 10, 2024 · In this paper, we derive new optical soliton solutions to (2 + 1)-dimensional Schrödinger's hyperbolic equation using extended direct algebraic method and new … deriving moment of inertia of a rodWebAug 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 … deriving newton\\u0027s law of coolingWebApr 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 … chronograph vs stopwatchWebMay 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 ... chronograph vs diverWebApr 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. deriving new business insights with big dataWebThree 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 … chronograph vs chronometerWebExporting Gmail to PST using Google Takeout is a simple process. Here are the steps to follow: Step 1. Sign in to your Gmail account. Then, click Settings > See all settings. Step 2. Click the Forwarding and POP/IMAP tab, then enable IMAP access. Save the changes and exit the settings page. Step 3. deriving new sentences from old