Results 11 to 20 of about 1,409,077 (321)

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

Results in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
doaj   +3 more sources

Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn-Allen Equation

Advances in Mathematical Physics, 2022
In this research, the Ψ,Φ-expansion scheme has been implemented for the exact solutions of the fractional Clannish Random Walker’s parabolic (FCRWP) equation and the nonlinear fractional Cahn-Allen (NFCA) equation.
Md. Nur Alam, Onur Alp İlhan, Md. Sabur Uddin, Md. Abdur Rahim   +3 more
doaj   +1 more source

The Q-Space Deformed Wave Equation

Complexity, 2022
Let q∈0,1. We know that, when q tends to 1, we recover “classical” quantum mechanics. However, when q is not equal to one, we have a theory of quantum mechanics in a spacetime, i.e., a theory where the vacuum has a nonzero energy density. As a q-analogue
Mahjoub A. Elamin, Narjess Turki Khalifa, Sami H. Altoum   +2 more
doaj   +1 more source

Comparative Study on Numerical Simulation of Wave-Current Nonlinear Interaction Based on Improved Mass Source Function

Journal of Marine Science and Engineering, 2023
In coastal waters, wave propagation is often affected by rivers and tides. The wave current interaction increases the complexity of the wave propagation.
Haitao Li, Jijian Lian, Enxian Zhou, Gang Wang   +3 more
doaj   +1 more source

Applications of exact traveling wave solutions of Modified Liouville and the Symmetric Regularized Long Wave equations via two new techniques

Results in Physics, 2018
In this current work, we employ novel methods to find the exact travelling wave solutions of Modified Liouville equation and the Symmetric Regularized Long Wave equation, which are called extended simple equation and exp(-Ψ(ξ))-expansion methods.
Dianchen Lu, Aly R. Seadawy, Asghar Ali
doaj   +1 more source

An improved wave equation of fractured-porous media for predicting reservoir permeability

Frontiers in Earth Science, 2023
The wave characteristics of fractured-porous media can be utilized for permeability identification; however, further research is necessary to enhance the accuracy of this identification. A novel wave equation for fractured-porous media is formulated, and
Wanjin Zhao, Weitao Sun, Jianhu Gao, Run He   +3 more
doaj   +1 more source

Semi-linear wave equations [PDF]

Bulletin of the American Mathematical Society, 1992
We survey existence and regularity results for semi-linear wave equations. In particular, we review the recent regularity results for the u 5 {u^5} -Klein Gordon equation by Grillakis and this author and give a self-contained, slightly simplified proof.
openaire   +2 more sources

Nonautonomous Retarded Wave Equations

Journal of Mathematical Analysis and Applications, 2001
In the present paper the authors study the existence and uniqueness of \(C^2\) solutions to nonautonomous retarded wave equations with memory effects. To this end the authors first tackle the well-posedness problem for a class of Volterra nonautonomous retarded differential equations in a Banach space.
RHANDI, Abdelaziz, MANIAR L.
openaire   +3 more sources

Freak waves in laboratory and space plasmas [PDF]

, 2010
Generation of large-amplitude short-lived wave groups from small-amplitude initial perturbations in plasmas is discussed. Two particular wave modes existing in plasmas are considered. The first one is the ion-sound wave.
Ruderman, M.S.
core   +1 more source

On the Fractional Wave Equation

Mathematics, 2020
In this paper we study the time-fractional wave equation of order 1
Francesco Iafrate, Enzo Orsingher
doaj   +1 more source