Results 11 to 20 of about 284 (125)
Kudryashov Expansion Method Applied to Fisher Mathematical Model
Advances in Mathematical PhysicsWe obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical
Elif Deniz Öztürk +2 more
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Results in Physics, 2021 The present paper explores a high-order nonlinear Schrödinger equation in a non-Kerr law media with the weak non-local nonlinearity describing solitons’ propagation through nonlinear optical fibers.
K. Hosseini +6 more
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Results in Physics, 2023 This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
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Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation
Nelineinaya Dinamika, 2022 Recently, motivated by the interest in the problems of nonlinear dynamics of cylindrical shells, A. I. Zemlyanukhin et al. (Nonlinear Dyn, 98, 185–194, 2019) established the so-called Schamel – Kawahara equation (SKE). The SKE generalizes the well-known nonlinear Schamel equation that arises in plasma physics problems, by adding the high-order ...
González-Gaxiola, Oswaldo +2 more
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Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method
Journal of Mathematics, 2023 In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity. Using a traveling wave transformation, the GKE is transformed into a nonlinear second order ordinary differential equation (ODE).
Rajagopalan Ramaswamy +4 more
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New Solitary Wave Patterns of the Fokas System in Fiber Optics
Mathematics, 2023 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 ...
Melike Kaplan +2 more
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Exact solutions of the generalized nonlinear Fokas-Lennells equation
Results in Physics, 2019 Two different schemes are applied to the generalized nonlinear Fokas-Lennells equation for obtaining possible optical solitonic solutions at general orders of nonlinearities. It is known that the standard Kudryashov method leads to singular combo optical
A. Ebaid +5 more
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Exact meromorphic solutions of cubic Ostrovsky equation: Kudryashov method
Journal of Physics: Conference Series, 2021 AbstractWe analyze the cubic Ostrovsky equation which is a modification of Ostrovsky equation. This equation can be found in physical phenomena such as wave mechanism due to a rotating media. We use the Kudryashov method to solve this equation. Since this equation is one type of nonlinear partial differential equation, we initially transformed this ...
Herry F. Lalus, N P Aryani
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New exact solitary wave solutions for the extended (3 + 1)-dimensional Jimbo-Miwa equations
Results in Physics, 2018 In this manuscript, new solitary wave solutions for the newly introduced extended (3 + 1)-dimensional Jimbo-Miwa equations (the first and second) by Wazwaz (2017) are presented alongside the classical equation solution for comparison.
Khalid K. Ali +2 more
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Entropy, 2015 In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method.
Haci Mehmet Baskonus, Hasan Bulut
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