Results 21 to 30 of about 1,385,566 (326)
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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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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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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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Biswas +18 more
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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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Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings
Fractal and Fractional, 2019 In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation ...
Dumitru Baleanu, Hassan Kamil Jassim
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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 polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation [PDF]
, 2012 We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-Gordon equation with a variable coefficient.
Barrodale +44 more
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Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point
, 2012 Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase-transition point are analytically studied. A nonlinear Klein-Gordon equation is derived for the envelope of these wave packets. A variety of novel phenomena known to exist
Bender +14 more
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