Results 1 to 10 of about 4,138 (174)
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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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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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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New wave behaviors of the Fokas-Lenells model using three integration techniques.
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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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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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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Advances in Difference Equations, 2020 The aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation.
Abd-Allah Hyder
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A study on the compatibility of the generalized Kudryashov method to determine wave solutions
Propulsion and Power Research, 2021 In this article, we establish solitary wave solutions to the Estevez-Mansfield-Clarkson (EMC) equation and the coupled sine-Gordon equations which are model equations to analyze the formation of shapes in liquid drops, surfaces of negative constant ...
Hemonta Kumar Barman +2 more
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Journal of New TheoryThis comprehensive investigation delves deeply into the intricate dynamics governed by the nonlinear Landau-Ginzburg-Higgs equation. It uncovers a diversity of semi-analytical solutions by leveraging three auxiliary equation methods within the traveling ...
Şerife Müge Ege
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On the Dynamics of the Complex Hirota-Dynamical Model
Mathematics, 2023 The complex Hirota-dynamical Model (HDM) finds multifarious applications in fields such as plasma physics, fusion energy exploration, astrophysical investigations, and space studies.
Arzu Akbulut +3 more
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