Results 31 to 40 of about 10,990,470 (194)

Exact solutions of the generalized nonlinear Fokas-Lennells equation

open access: yesResults 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
doaj   +1 more source

New exact solitary wave solutions for the extended (3 + 1)-dimensional Jimbo-Miwa equations

open access: yesResults 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
doaj   +1 more source

Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics [PDF]

open access: yes, 2023
In this study, we utilize the potent generalized Kudryashov method to address the intricate obstacles presented by fractional differential equations in the field of mathematical physics.
Ekici, Mustafa, Mustafa Ekici
core   +1 more source

Finding soliton solutions of some partial differential equations by generalized Kudryashov method [PDF]

open access: yes, 2022
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez çalışması beş farklı kısımdan oluşmaktadır. Birinci kısımda genelleştirilmiş Kudryashov metodunun oluşumu ve metodun uygulanması ile ilgili bazı bilgiler verilmiştir.
Ceren, Emre
core  

New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics

open access: yesEntropy, 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
doaj   +1 more source

SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]

open access: yes, 2021
In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional
Ahmad, Hijaz, Gaber, Ahmed
core   +1 more source

Formalizing the Divergence Theorem and the Cauchy Integral Formula in Lean [PDF]

open access: yes, 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
core   +1 more source

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

open access: yesResults 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   +6 more
doaj   +1 more source

Application of Kudryashov method for the Ito equations [PDF]

open access: yes, 2017
In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact
Akbari, Mozhgan
core   +1 more source

New exact travelling wave solutions for space-time fractional nonlinear equations describing nonlinear transmission lines

open access: yesResults in Physics, 2018
In this paper, we examines the effectiveness of newly developed algorithms called the exp(-ϕ(ξ))-expansion function method and generalized Kudryashov method for constructing new and important travelling wave solutions of space-time fractional nonlinear ...
M.A. Abdou, A.A. Soliman
doaj   +1 more source

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