Results 21 to 30 of about 496 (193)

New extended generalized Kudryashov method for solving three nonlinear partial differential equations

open access: yesNonlinear Analysis, 2020
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Elsayed M.E. Zayed   +2 more
doaj   +3 more sources

Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics

open access: yesJournal of Applied Mathematics, 2018
A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol   +2 more
doaj   +2 more sources

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   +2 more sources

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   +2 more sources

The Traveling Wave Solutions of Space-Time Fractional Partial Differential Equations by Modified Kudryashov Method

open access: yesJournal of Applied Mathematics and Physics, 2020
In this paper, the modified Kudryashov method is employed to find the traveling wave solutions of two well-known space-time fractional partial differential equations, namely the Zakharov Kuznetshov Benjamin Bona Mahony equation and Kolmogorov Petrovskii Piskunov equation, and as a helping tool, the sense of modified Riemann-Liouville derivative is also
Md. Mahfujur Rahman   +3 more
exaly   +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

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

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 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

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