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Revisiting Schrödinger’s fourth-order, real-valued wave equation and the implication from the resulting energy levels [PDF]
Royal 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
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On the Fractional Wave Equation [PDF]
Mathematics, 2020 In this paper we study the time-fractional wave equation of order 1
Francesco Iafrate, Enzo Orsingher
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A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling [PDF]
Scientific 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
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Discovery of the exact 3D one-way wave equation [PDF]
Nature CommunicationsThe standard wave equation describing symmetrical wave propagation in all directions in three dimensions, was discovered by the French scientist d’Alembert, more than 250 years ago. In the 20th century it became important to search for ‘one-way’ versions
Kosmas L. Tsakmakidis +1 more
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Spherical One-Way Wave Equation
Acoustics, 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
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The Wave Equation with Energy Dependent Potential - the Linear Case [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2011 We summarize recent works devoted to energy dependent potentials. It concerns the class of potentials having a coupling constant depending linearly on the energy. Introduced in the Schrödinger equation, it produces non-linear effects.
Ronald Lombard
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A vector super Newell long-wave-short-wave equation and infinite conservation laws
Partial Differential Equations in Applied Mathematics, 2022 Based on the zero-curvature equation and Lenard recursion equations, we propose a vector super long-wave-short-wave hierarchy associated with an (n+2)×(n+2)matrix spectral problem.
Kedong Wang +3 more
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The Q-Time Deformed Wave Equation
Journal 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
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Numerical simulations of pure quasi-P-waves in orthorhombic anisotropic media
Frontiers 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
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Generalizations of the wave equation [PDF]
Transactions of the American Mathematical Society, 1993 The main result of this paper is a generalization of the property that, for smooth u u , u x y = 0 {u_{xy}} = 0 implies ( ∗ ) (\ast ) \[ u ( x
Ash, J. Marshall +3 more
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