Results 21 to 30 of about 481 (193)

The system of equations for the ion sound and Langmuir waves and its new exact solutions

open access: yesResults in Physics, 2018
The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic ...
Aly R. Seadawy   +3 more
doaj   +2 more sources

A new computational investigation to the new exact solutions of (3 + 1)-dimensional WKdV equations via two novel procedures arising in shallow water magnetohydrodynamics

open access: yesNonlinear Engineering, 2022
Various new exact solutions to (3+1)\left(3+1)-dimensional Wazwaz–KdV equations are obtained in this work via two techniques: the modified Kudryashov procedure and modified simple equation method.
Zhou Maojie   +4 more
doaj   +2 more sources

New exact solutions of the combined and double combined sinh-cosh-Gordon equations via modified Kudryashov method

open access: yesInternational Journal of Physical Research, 2018
The combined and double combined sinh-cosh-Gordon equations are very important to a wide range of various scientific applications that ranges from chemical reactions to water surface gravity waves. In this article, with the assistance of a function transform and Painlevè property, the nonlinear combined and double combined sinh-cosh-Gordon equations ...
Atish Kumar Joardar   +2 more
openaire   +3 more sources

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   +2 more sources

On the optical soliton solutions of (2+1)-Biswas-Milovic equation via modified new Kudryashov method

open access: yesEuropean Journal of Science and Technology, 2023
This study includes the examination of optical soliton solutions of the (2+1)-dimensional Biswas-Milovic equation, which is an important equation modeling the soliton behavior in optical fibers, which has been introduced to the literature recently. Since the investigated equation and method are recently introduced and not much works has been done, the ...
Ramazan TEKERCİOĞLU   +1 more
openaire   +3 more sources

New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

open access: yesJournal of Ocean Engineering and Science, 2023
The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques. The adopted methods are generalized Kudryashov method (GKM), exponential rational function method (ERFM), and ...
Arzu Akbulut   +2 more
doaj   +2 more sources

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

open access: yesResults in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath   +2 more
doaj   +2 more sources

Abundant Wave Accurate Analytical Solutions of the Fractional Nonlinear Hirota–Satsuma–Shallow Water Wave Equation

open access: yesFluids, 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
doaj   +2 more sources

TRAVELING WAVE SOLUTIONS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2016
The modified Kudryashov method is powerful, efficient and can be used as an alternative to establish new solutions of different type of fractional differential equations applied in mathematical physics.
SERIFE MUGE EGE, EMINE MISIRLI
doaj   +1 more source

Sub-10-fs-pulse propagation between analytical and numerical investigation

open access: yesResults in Physics, 2021
This paper investigates the analytical solutions of the well-known nonlinear Schrödinger (NLS) equation with the higher-order through three members of Kudryashov methods (the original Kudryashov method, modified Kudryashov method, and generalized ...
Mostafa M.A. Khater   +6 more
doaj   +1 more source

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