Results 11 to 20 of about 9,515 (196)
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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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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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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Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]
Mathematical Problems in Engineering, 2011 The Lie symmetry method is performed for the fifth‐order nonlinear evolution Kudryashov‐Sinelshchikov equation. We will find ones and two‐dimensional optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group‐invariant solutions is investigated.
Nadjafikhah, Mehdi, Shirvani-Sh, Vahid
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Optical solitons with Kudryashov’s sextic power-law nonlinearity
Optik, 2022 Objective - The main objective of this paper is to investigate analytic soliton solutions of a nonlinear Schrodinger equation (NLSE), including Kudryashov's sextic power-law nonlinearity by introducing different approaches of two efficient analytical methods. The considered equa-tion has been recently introduced by N. A.
Muslum Ozisik +3 more
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Quiescent optical solitons with Kudryashov’s law of nonlinear refractive index
Results in Physics, 2023 The present study reports quiescent optical solitons for Kudryashov’s proposed form of self-phase modulation with quintuple nonlinearity having two power-law parameters. The solitons were retrieved with the usage of enhanced Kudryashov’s algorithm.
Ahmed H. Arnous +5 more
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Conformable Diferensiyel Denklemlerin Genelleştirilmiş Kudryashov Yöntemiyle Tam Çözümleri
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 Lineer olmayan conformable diferensiyel denklemler matematiksel fizikte önemli bir yere sahiptir. Bu denklemlerin tam çözümlerinin elde edilmesi, son yıllarda oldukça ilgi çeken bir çalışma alanı olarak karşımıza çıkmaktadır. Bu makalede, conformable üçüncü mertebeden modifiye KdV denklemi ve conformable Boussinesq denkleminin tam çözümleri ...
Arzu Akbulut, Melike Kaplan
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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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Optical solitons for Biswas–Milovic equation using the new Kudryashov’s scheme
Optik, 2022 Purpose: This study aims to examine the optical soliton solutions of the nonlinear Schrodinger form of the (2+1)-Biswas-Milovic equation with Kerr, power and parabolic law nonlinearity. Methodology: Our method steps are as follows; we have obtained the nonlinear ordinary differential equation (NODE) and constraint relations for each Kerr, power and ...
Selvi Altun +3 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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