Results 21 to 30 of about 1,413 (195)
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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Novel Solutions of Perturbed Boussinesq Equation
Journal of Mathematical Sciences and Modelling, 2022 In this article, we have worked on the perturbed Boussinesq equation. We have applied the generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the perturbed Boussinesq equation. So, we have obtained some new soliton solutions of
Şeyma Tülüce Demiray, Uğur Bayrakcı
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Pramana, 2020 In this article, we study the generalised Kudryashov method for the time fractional generalized Burgers-Fisher equation (GBF). Using traveling wave transformation, the time fractional GBF is transformed to nonlinear ordinary differential equation (ODE).
Ramya Selvaraj +3 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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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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Complexity, 2020 In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
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Analysis of a conformable generalized geophysical KdV equation with Coriolis effect
Alexandria Engineering Journal, 2023 In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator.
Sayed Saifullah +5 more
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Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method
Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found.
Yusuf PANDIR, Sahragül EREN
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Results in Physics, 2021 The analytical solutions of the integrable generalized (2+1)-dimensional nonlinear conformable Schrödinger (NLCS) system of equations was explored in this paper with the aid of three novel techniques which consist of (G′/G)-expansion method, generalized ...
Lanre Akinyemi +4 more
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Journal of Ocean Engineering and Science, 2017 The aim of the article is to construct exact solutions for the time fractional coupled Boussinesq–Burger and approximate long water wave equations by using the generalized Kudryashov method. The fractional differential equation is converted into ordinary
Mostafa M.A. Khater, Dipankar Kumar
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