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Revisiting Schrödinger’s fourth-order, real-valued wave equation and the implication from the resulting energy levels [PDF]
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
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A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling [PDF]
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
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Spherical One-Way Wave Equation
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
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The Q-Time Deformed Wave Equation
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
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Penyelesaian Persamaan Telegraph Dan Simulasinya
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
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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
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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+3 more
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Numerical simulations of pure quasi-P-waves in orthorhombic anisotropic media
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
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The Q-Space Deformed Wave Equation
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+2 more
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On traveling wave solutions of a class of KdV-Burgers-Kuramoto type equations
In the paper, the traveling wave solutions of a KdV–Burgers-Kuramoto type equation with arbitrary power nonlinearity are considered. Lie symmetry analysis method on the equation is performed, which shows that the equation possesses traveling wave ...
Yanxia Hu, Qian Liu
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