Results 21 to 30 of about 236,123 (310)
Exact and Fast Numerical Algorithms for the Stochastic Wave Equation [PDF]
, 2003 On the basis of integral representations we propose fast numerical methods to solve the Cauchy problem for the stochastic wave equation without boundaries and with the Dirichlet boundary conditions.
Martin, A. +9 more
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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 +3 more
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Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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Poincaré wave equations as Fourier transforms of Galilei wave equations [PDF]
Journal of Mathematical Physics, 1980 The relationship between the Poincaré and Galilei groups allows us to write the Poincaré wave equations for arbitrary spin as a Fourier transform of the Galilean ones. The relation between the Lagrangian formulation for both cases is also studied.
Gomis Torné, Joaquim +2 more
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From the Newton Equation to the Wave Equation: The Case of Shock Waves [PDF]
Applied 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
Blanc, Xavier, Josien, Marc
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Results in Physics, 2016 The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
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One-Way Wave Equation Derived from Impedance Theorem
Acoustics, 2020 The wave equations for longitudinal and transverse waves being used in seismic calculations are based on the classical force/moment balance. Mathematically, these equations are 2nd order partial differential equations (PDE) and contain two solutions with
Oskar Bschorr, Hans-Joachim Raida
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Acoustics, 2022 The second-order partial differential wave Equation (Cauchy’s first equation of motion), derived from Newton’s force equilibrium, describes a standing wave field consisting of two waves propagating in opposite directions, and is, therefore, a “two-way ...
Hans-Joachim Raida
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Wave equation is NOT an electromagnetic wave equation
, 2021 It is shown that the wave equation only in the first approximation can be considered the equation of an electromagnetic wave, and and therefore it is offered a new equation is proposed for electromagnetic wave, which also follows from the system of Maxwell's equations.
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Pseudo-elastic pure P-mode wave equation
, 2021 We present a pseudo-elastic wave equation describing pure pressure waves propagating in elastic media. The pure pressure-mode (P-mode) wave equation uses all the elastic parameters (such as density, P- and S-wave velocities).
Sun, Bingbing, Alkhalifah, Tariq Ali
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