Results 21 to 30 of about 3,915 (198)
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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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 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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Meromorphic solutions of nonlinear ordinary differential equations [PDF]
, 2010 Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for
Aslan +52 more
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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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A note on "new travelling wave solutions to the Ostrovsky equation" [PDF]
, 2010 In a recent paper by Yaşar [E. Yaşar, New travelling wave solutions to the Ostrovsky equation, Appl. Math. Comput. 216 (2010), 3191-3194], 'new' travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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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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A note on travelling-wave solutions to Lax's seventh-order KdV equation [PDF]
, 2009 Ganji and Abdollahzadeh [D.D. Ganji, M. Abdollahzadeh, Appl. Math. Comput.206 (2008) 438{444] derived three supposedly new travelling-wave solutions to Lax's seventh-order KdV equation. Each solution was obtained by a different method.
Parkes, E.J.
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Extended Kudryashov Method for Fractional Nonlinear Differential Equations
Mathematical Sciences and Applications E-Notes, 2018 In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional derivative is used and the proposed method is applied to two nonlinear fractional differential equations.
EGE, Serife Muge, MİSİRLİ, Emine
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