Results 41 to 50 of about 127,369,342 (196)
, 2023 In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana’s conformable derivative using the general Kudryashov method. Firstly, Atangana’s conformable fractional derivative and its properties are
Gurefe, Yusuf
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Results in Physics, 2020 New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK) equation arising in fluids by the modified Kudryashov and new auxiliary equation methods.
Dipankar Kumar +4 more
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Frontiers in Physics, 2022 In this work, the model equation with space fractional-order (FO) is used to investigate the nonlinear ion acoustic shock wave excitations (NIASWEs) in an unmagnetized collisionless weakly relativistic plasma having inertial relativistic ions fluid with ...
M.F. Uddin +3 more
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Formalizing the Divergence Theorem and the Cauchy Integral Formula in Lean [PDF]
, 2022 I formalize a version of the divergence theorem for a function on a rectangular box that does not assume regularity of individual partial derivatives, only Fréchet differentiability of the vector field and integrability of its divergence. Then I use this
Kudryashov, Yury
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New soliton wave solutions of a (2 + 1)-dimensional Sawada-Kotera equation
Journal of Ocean Engineering and Science, 2023 In this work, we studied a (2 + 1)-dimensional Sawada-Kotera equation (SKE). This model depicts nonlinear wave processes in shallow water, fluid dynamics, ion-acoustic waves in plasmas and other phenomena.
Kong Debin +5 more
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Generalized Kudryashov Method for Time-Fractional Differential Equations [PDF]
, 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.
Yusuf Pandir +2 more
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Fluids, 2021 This research paper targets the fractional Hirota’s analytical solutions–Satsuma (HS) equations. The conformable fractional derivative is employed to convert the fractional system into a system with an integer–order.
Chen Yue +2 more
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Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations [PDF]
, 2010 The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
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Application of the generalized Kudryashov method to the Eckhaus equation [PDF]
, 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.
Arnous, Ahmed H. H. +1 more
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