Results 1 to 10 of about 228 (55)

New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities

open access: yesFrontiers in Physics, 2020
New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functions.
Hesham G. Abdelwahed   +6 more
doaj   +2 more sources

Non-stationary Navier–Stokes equations in 2D power cusp domain

open access: yesAdvances in Nonlinear Analysis, 2021
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. We consider the case where the boundary value has a nonzero flux over the boundary.
Pileckas Konstantin, Raciene Alicija
doaj   +2 more sources

A complete Frobenius type method for linear partial differential equations of third order

open access: yesDifferential Equations & Applications, 2021
The main subject of this paper is the study of third order linear partial differential equations with analytic coefficients in a two variables domain. We aim the existence of solutions by algorithmic means, in the real or complex analytical case. This is
V. León, B. Scárdua
semanticscholar   +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   +1 more source

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

The exact solutions of the stochastic Ginzburg–Landau equation

open access: yesResults 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   +5 more
doaj   +1 more source

Application of scaling invariance approach, P-test and soliton solutions for couple of dynamical models

open access: yesResults in Physics, 2021
In the current article, we will apply the scaling invariance technique to find conservation laws (CLs) for the nonlinear Chiral Schrödinger equation (NLCSE) with variable coefficients and the (2+1)-dimensional Maccari system.
Azhar Bashir   +5 more
doaj   +1 more source

New nonlinear periodic, solitonic, dissipative waveforms for modified-Kadomstev-Petviashvili-equation in nonthermal positron plasma

open access: yesResults in Physics, 2020
The positron nonthermality contributions on nonlinear wave aspects of periodic solitary, shocklikes, rational, and explosive waves which exists for the critical features depicted by modified KP equation in earths space of regions D and F ionic plasma ...
H.G. Abdelwahed   +1 more
doaj   +1 more source

New singular solutions of Protter′s problem for the 3D wave equation

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 4, Page 315-335, 2004., 2004
In 1952, for the wave equation,Protter formulated some boundary value problems (BVPs), which are multidimensional analogues of Darboux problems on the plane. He studied these problems in a 3D domain Ω0, bounded by two characteristic cones Σ1 and Σ2,0 and a plane region Σ0. What is the situation around these BVPs now after 50 years?
M. K. Grammatikopoulos   +2 more
wiley   +1 more source

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