Soliton solutions using different methods

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August undefined, 2024

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 … 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 …

Fractional solitons: New phenomena and exact solutions

WebChlorhexidine 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 … 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 ... howard softball twitter

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

http://www.internonlinearscience.org/upload/papers/IJNS%20Vol%2016%20No%203%20paper%201%20Dark-Bright%20Soliton%20Solutions%20for%20Some%20Evolution%20Equations.pdf 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 ... 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 … howard soffa sammet

New soliton solutions of modified (3+1)-D …

Sensitive analysis of soliton solutions of nonlinear Landau …

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 ... 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. … how many kilometers are in a lightyearWebWe present exact solutions for new (3+1)-dimensional nonlinear equations of wave propagation and fluids. We use the tanh/sech method combined with a computer … howard softball camp

"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 … " - Soliton solutions using different methods

Soliton solutions using different methods

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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 … 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.

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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 … 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 …

WebMay 12, 2024 · Then, novel different type soliton solutions are acquired using the Sardar subequation approach. The produced soliton solutions play an essential role for …

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 … 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 …

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. how many kilometers are in a gallonWebApr 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, … how many kilometers are in a metersWebWe introduce a new version of the trial equation method for solving nonintegrable partial differential equations in mathematical physics. Some exact solutions including soliton … how many kilometers are in a meterWebVarious 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 … how many kilometers are in a mmWebJun 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 … howards of taunton peugeotWebThe 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 … how many kilometers are in a mileWebproperties 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 … how many kilometers are in a millimeter