Results 31 to 40 of about 4,138 (174)

The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative

open access: yes, 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
core   +1 more source

Equivalence group for generalized Kudryashov-Sinelshchikov equations of second order [PDF]

open access: yes, 2020
Orientador: Yuri Dimitrov BozhkovTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Nesta tese calculamos o grupo de equivalência contínuo para a equação generalizada de Kudryashov ...
Londoño Duque, Oscar Mario, 1979-
core  

Families of vector fields with many numerical invariants [PDF]

open access: yes, 2021
We study bifurcations in finite-parameter families of vector fields on $S^2$. Recent papers by Yu. Ilyashenko, N. Goncharuk, Yu. Kudryashov, I. Schurov, and N.
Goncharuk, Nataliya   +3 more
core   +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

Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation

open access: yes, 2022
The fifth-order Kudryashov–Sinelshchikov–Olver equation is a nonlinear partial differential equation, which describes the interactions between short waves and long waves. Here, we prove the global existence of solutions for the Cauchy problem associated
Di Ruvo, L   +3 more
core   +1 more source

Optical Solitons in Magneto-Optic Waveguides Having Kudryashov’s Law of Nonlinear Refractive Index by Trial Equation Approach [PDF]

open access: yes, 2023
The paper addresses optical solitons in magneto-optic waveguides that are studied using Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation terms.
Simona Moldovanu   +11 more
core   +1 more source

New exact solutions for the time fractional coupled Boussinesq–Burger equation and approximate long water wave equation in shallow water

open access: yesJournal 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
doaj   +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

Lie Symmetry Analysis of Kudryashov-Sinelshchikov Equation

open access: yes, 2011
The Lie symmetry method is performed for the fifth-order nonlinear evolution Kudryashov-Sinelshchikov equation. We will find ones and two-dimensional optimal systems of Lie subalgebras.
Vahid Shirvani-Sh, Mehdi Nadjafikhah
core   +1 more source

Highly Dispersive Optical Solitons with Four Forms of Self-Phase Modulation

open access: yesUniverse, 2023
This paper implements the enhanced Kudryashov approach to retrieve highly dispersive optical solitons and study it with four nonlinear forms. These are the power law, generalized quadratic-cubic law, triple-power law, and the generalized non-local law ...
Ahmed M. Elsherbeny   +7 more
doaj   +1 more source

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