Results 41 to 50 of about 11,583,195 (198)

White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives

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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Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and multiplicative white noise

Results in Physics, 2023
Nonlinear partial differential equations serve as key components for the mathematical representation of engineering phenomena across several domains within the known universe.
Elsayed M.E. Zayed, Ahmed H. Arnous, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Nehad Ali Shah, Jae Dong Chung   +6 more
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Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method [PDF]

Symmetry, 2021
The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields. This article addresses the generalized dimensional Hirota–Maccari equation by using two different methods: the exp(−φ(ζ)) expansion method and Addendum to ...
openaire   +2 more sources

An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
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Distinct exact solutions for the conformable fractional derivative Gerdjikov-Ivanov equation via three credible methods

Journal of Taibah University for Science, 2023
This paper reveals the conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation, which is applied to nonlinear fibre optics together with photonic crystal fibres.
Qinglian Yin, Ben Gao, Zhang Shi
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New exact solutions for the time fractional coupled Boussinesq–Burger equation and approximate long water wave equation in shallow water

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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Some new exact solitary wave solutions of the van der Waals model arising in nature

Results in Physics, 2018
This work proposes two well-known methods, namely, Exponential rational function method (ERFM) and Generalized Kudryashov method (GKM) to seek new exact solutions of the van der Waals normal form for the fluidized granular matter, linked with natural ...
Sadaf Bibi, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud-Din   +3 more
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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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Soliton solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp(-Ω(η))-expansion function method

, 2021
This paper addresses the Heisenberg ferromagnetic spin chain equation with beta derivative. Initially, beta derivatives and their features are presented.
Demiray, S. Tuluce, Bayrakci, U., Tuluce Demiray, S.   +2 more
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Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers

Universe, 2022
In this scientific research article, the new Kudryashov method and the tanh-coth method, which have not been applied before, are employed to construct analytical and soliton solutions of the (2+1)-dimensional Hirota–Maccari system.
Neslihan Ozdemir, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
doaj   +1 more source