Results 21 to 30 of about 5,378,040 (354)
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 +2 more
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On traveling wave solutions of a class of KdV-Burgers-Kuramoto type equations
AIMS Mathematics, 2019 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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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
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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
Marc Josien, Marc Josien, Xavier Blanc
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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
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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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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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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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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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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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