Results 1 to 10 of about 1,090 (181)
Generalized Kudryashov Method for Time-Fractional Differential Equations [PDF]
Abstract and Applied Analysis, 2014 In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation.
Seyma Tuluce Demiray +2 more
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Applied Sciences, 2022 This article deals with the study of ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air.
Sidra Ghazanfar +5 more
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New exact solutions for Kudryashov–Sinelshchikov equation [PDF]
Advances in Difference Equations, 2018 In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
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New wave behaviors of the Fokas-Lenells model using three integration techniques. [PDF]
PLoS ONE, 2023 In this investigation, we apply the improved Kudryashov, the novel Kudryashov, and the unified methods to demonstrate new wave behaviors of the Fokas-Lenells nonlinear waveform arising in birefringent fibers.
Mohammad Safi Ullah +2 more
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An encyclopedia of Kudryashov’s integrability approaches applicable to optoelectronic devices
Optik, 2022 Purpose: In the last decades, many researchers have performed their best in order to find the solution of the nonlinear evolution equations, nonlinear partial differential equations (NLPDEs), fractional nonlinear partial differential equations and nonlinear optical models by using Kudryashov methods, which have various forms.
Aydin Secer +2 more
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Kudryashov method for exact solutions of isothermal magnetostatic atmospheres [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 The Kudryashov method to look for the exact solutions of the nonlinear differential equations is presented. The Kudryashov method is applied to search for the exact solutions of the Liouville equation and the Sinh-Poisson equation.
Nematollah Kadkhoda, Hossein Jafari
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Sub-10-fs-pulse propagation between analytical and numerical investigation
Results in Physics, 2021 This paper investigates the analytical solutions of the well-known nonlinear Schrödinger (NLS) equation with the higher-order through three members of Kudryashov methods (the original Kudryashov method, modified Kudryashov method, and generalized ...
Mostafa M.A. Khater +6 more
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Results in Physics, 2021 In this paper, we looked into the generalized third-order nonlinear Schrödinger equation (NLSE). This model has a wide range of applications, including ultra-short pulses in optical fibers.
Sandeep Malik +3 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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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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