Results 11 to 20 of about 3,841 (206)
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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Application of the generalized Kudryashov method to the Eckhaus equation [PDF]
Nonlinear Analysis, 2016 In this paper, the generalized Kudryashov method is presented to seek exact solutions of the Eckhaus equation. From these solutions, we can derive solitary wave solutions as a special case.
Ahmed H. Arnous, Mohammad Mirzazadeh
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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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A singular limit problem for the Kudryashov-Sinelshchikov equation [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2014 We consider the Kudryashov-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation coverge to the entropy ones of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compansated ...
COCLITE, Giuseppe Maria, di Ruvo L.
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Optical solitons of the Kudryashov Equation via an analytical technique [PDF]
Optical and Quantum Electronics, 2022 Some new optical solitons find for the Kudryashov equation (KE) in this study. These solutions are in the form of dark, bright, singular, singular-dark solitons and other solutions with certain conditions. These new solutions may be applied in the demonstration of Kudryashov equation in some better way.
M. Raheel +3 more
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Existence results for the Kudryashov–Sinelshchikov–Olver equation
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020 AbstractThe Kudryashov–Sinelshchikov–Olver equation describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity. In this paper, we prove the existence of solutions of the Cauchy problem associated with this equation.
Coclite, Giuseppe Maria +1 more
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The modified Kudryashov method for solving some evolution equations
AIP Conference Proceedings, 2012 The traveling wave solutions of nonlinear evolution equations have important role in many fields of applied sciences. In this study, we dwell upon the (2+1) dimensional Nizhnik-Nokikov-Veselov system and the modified Kudryashov method is used to construct traveling wave solutions.
Ege, Serife Muge, Misirli, Emine
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Results in Physics, 2017 In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Forhad Mahmud +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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