Results 21 to 30 of about 169,628 (261)
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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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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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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On the Stability of Wave Equation [PDF]
Abstract and Applied Analysis, 2013 We prove the generalized Hyers-Ulam stability of the wave equation,Δu=(1/c2)utt, in a class of twice continuously differentiable functions under some conditions.
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The Wave Equation for a Moving Source and a Moving Receiver
MathematicsThe ordinary 3D wave equation for nondissipative, homogeneous, isotropic media admits solutions where the point sources are permitted to move, but as shown in this paper, it does not admit solutions where the receiver is allowed to move. To overcome this
Hrvoje Dodig
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Journal of Applied Mathematics, 2014 The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest ...
Yinghui He, Yun-Mei Zhao, Yao Long
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Boundary Value Problems, 2021 Under the acoustic boundary conditions, the initial boundary value problem of a wave equation with multiple nonlinear source terms is considered. This paper gives the energy functional of regular solutions for the wave equation and proves the decreasing ...
Shoubo Jin, Jian Li
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Numerical study on the generation and evolution of the super-rogue waves
Journal of Ocean Engineering and Science, 2016 The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
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