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Revisiting Schrödinger’s fourth-order, real-valued wave equation and the implication from the resulting energy levels [PDF]

open access: yesRoyal Society Open Science, 2023
In his seminal part IV, Annalen der Physik vol. 81, 1926 paper, Schrödinger has developed a clear understanding about the wave equation that produces the correct quadratic dispersion relation for matter-waves and he first presents a real-valued wave ...
Nicos Makris
doaj   +2 more sources

On the Fractional Wave Equation [PDF]

open access: yesMathematics, 2020
In this paper we study the time-fractional wave equation of order 1
Francesco Iafrate, Enzo Orsingher
doaj   +3 more sources

A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling [PDF]

open access: yesScientific Reports, 2022
Implicit staggered-grid finite-difference (SGFD) methods are widely used for the first-order acoustic wave-equation modeling. The identical implicit SGFD operator is commonly used for all of the first-order spatial derivatives in the first-order acoustic
Wenquan Liang   +3 more
doaj   +2 more sources

Spherical One-Way Wave Equation

open access: yesAcoustics, 2021
The coordinate-free one-way wave equation is transferred in spherical coordinates. Therefore it is necessary to achieve consistency between gradient, divergence and Laplace operators and to establish, beside the conventional radial Nabla operator ∂Φ/∂r ...
Oskar Bschorr, Hans-Joachim Raida
doaj   +1 more source

The Q-Time Deformed Wave Equation

open access: yesJournal of Mathematics, 2022
For q∈0,1, we introduce the q-time deformed wave equation; using the q-derivative, the solution of the q-time deformed wave equation is given. Also, we introduce the free-time wave equation which is a limit case q⟶0 of the q-time deformed wave equation.
Al-Nashri Al-Hossain Ahmad   +1 more
doaj   +1 more source

Numerical simulations of pure quasi-P-waves in orthorhombic anisotropic media

open access: yesFrontiers in Earth Science, 2023
The accurate simulation of anisotropic media is critical in seismic imaging and inversion. In recent years, some scholars have dedicated efforts to the study of precise elastic waves in anisotropic media; however, it is easy to separate P-wave and S-wave
Hao Wang   +3 more
doaj   +1 more source

From the Newton Equation to the Wave Equation: The Case of Shock Waves [PDF]

open access: yesApplied Mathematics Research eXpress, 2017
We study the macroscopic limit of a chain of atoms governed by the Newton equation. It is known from the work of Blanc, Le Bris, Lions, that this limit is the solution of a nonlinear wave equation, as long as this solution remains smooth. We show, numerically and mathematically that, if the distances between particles remain bounded, it is not the case
Marc Josien, Marc Josien, Xavier Blanc
openaire   +4 more sources

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

open access: yesAdvances 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   +3 more
doaj   +1 more source

Penyelesaian Persamaan Telegraph Dan Simulasinya

open access: yesJurnal Fourier, 2013
Equation Telegraph is one of type from wave equation. Solving of the wave equation obtainable by using Green's function with the method of boundary condition problem.
Agus Miftakus Surur   +2 more
doaj   +1 more source

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