Results 1 to 10 of about 29 (16)

Rich analytical solutions of a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation

Results in Physics, 2021
In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N=2,3,4) are investigated.
Na Yuan
doaj   +1 more source

Exact solutions of the stochastic new coupled Konno-Oono equation

Results in Physics, 2021
In this paper we consider the stochastic Konno-Oono equation, which is forced by multiplicative noise. In order to find exact solutions of stochastic nonlinear Konno-Oono equations, generalized G′G-expansion method are implemented.
Wael W. Mohammed, Naveed Iqbal, Akbar Ali, Mahmoud El-Morshedy   +3 more
doaj   +1 more source

The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation

Open Mathematics, 2022
In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Itô sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G′G\frac{{G ...
Albosaily Sahar, Mohammed Wael W., Rezaiguia Ali, El-Morshedy Mahmoud, Elsayed Elsayed M.   +4 more
doaj   +1 more source

New conservation laws and exact solutions of the special case of the fifth-order KdV equation

Journal of Ocean Engineering and Science, 2022
The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Impacts of Brownian motion and fractional derivative on the solutions of the stochastic fractional Davey-Stewartson equations

Demonstratio Mathematica, 2023
In this article, the stochastic fractional Davey-Stewartson equations (SFDSEs) that result from multiplicative Brownian motion in the Stratonovich sense are discussed.
Mohammed Wael W., Al-Askar Farah M., El-Morshedy Mahmoud   +2 more
doaj   +1 more source

Numerical comparison of Caputo and Conformable derivatives of time fractional Burgers-Fisher equation

Results in Physics, 2021
In this paper, the sub-equation method is used to obtain new types of complex traveling wave solutions of the time-fractional Burgers-Fisher equation. In this work is to compare the exact complex traveling wave solutions of new types and the numerical ...
Asıf Yokus, Hülya Durur, Doğan Kaya, Hijaz Ahmad, Taher A. Nofal   +4 more
doaj   +1 more source

The exact solutions of the stochastic Ginzburg–Landau equation

Results in Physics, 2021
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed, Hijaz Ahmad, Amjad E. Hamza, E.S. ALy, M. El-Morshedy, E.M. Elabbasy   +5 more
doaj   +1 more source

The Exact Vacuum Solution for Kasner Metric from Bianchi Type-I Cosmological Model

, 2020
An exact solution of the vacuum Einstein field equations (VEFEs) has been obtained of a spatially homogeneous and anisotropic (SHA) Bianchi type-I cosmological model by Kasner.
Ahmed M. Al-Haysah, A. Hasmani
semanticscholar   +1 more source

A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

A note on Riccati-Bernoulli Sub-ODE method combined with complex transform method applied to fractional differential equations

Nonlinear Engineering, 2018
In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
doaj   +1 more source