Results 1 to 10 of about 188 (37)

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

open access: yesOpen 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   +4 more
doaj   +1 more source

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

open access: yesDemonstratio 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.   +2 more
doaj   +1 more source

Twisting type N vacuums with cosmological constant [PDF]

open access: yes, 2007
We provide the first examples of vacuum metrics with cosmological constant which have a twisting quadruple principal null ...
Nurowski, Pawel
core   +1 more source

By Magri's Theorem, Self-Dual Gravity is Completely Integrable [PDF]

open access: yes, 2007
By Magri's theorem the bi-Hamiltonian structure of Plebanski's second heavenly equation proves that (anti)-self-dual gravity is a completely integrable system in four dimensions.Comment: This is a contribution to the Proc.
Nutku, Yavuz
core   +4 more sources

Fractional Analogous Models in Mechanics and Gravity Theories [PDF]

open access: yes, 2010
We briefly review our recent results on the geometry of nonholonomic manifolds and Lagrange--Finsler spaces and fractional calculus with Caputo derivatives. Such constructions are used for elaborating analogous models of fractional gravity and fractional
D Baleanu   +5 more
core   +1 more source

Fractional Exact Solutions and Solitons in Gravity [PDF]

open access: yes, 2010
We survay our recent results on fractional gravity theory. It is also provided the Main Theorem on encoding of geometric data (metrics and connections in gravity and geometric mechanics) into solitonic hierarchies.
D Baleanu, S Anco, S Vacaru
core   +1 more source

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

open access: yesAdvances 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

open access: yesNonlinear 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

Gravitational field of Schwarzschild soliton

open access: yesArab Journal of Mathematical Sciences, 2015
The aim of this paper is to study the gravitational field of Schwarzschild soliton. Use of characteristic of λ-tensor is given to determine the kinds of gravitational fields.
Musavvir Ali, Zafar Ahsan
doaj   +1 more source

Exact solutions of the stochastic new coupled Konno-Oono equation

open access: yesResults 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   +3 more
doaj  

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