Results 21 to 30 of about 1,328,295 (326)
The Relativistic Wave Equation [PDF]
International Journal of Applied Physics and Mathematics, 2013 Abstract—In general, it is well known that the Schrödinger equation is not compatible with special relativity theory to a necessary extent. Thus far, there are already several trials to formulate versions of the Schrödinger equation to ensure compatibility with special relativity theory, the Klein-Gordon-equation or the Dirac equation are some of these
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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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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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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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, 2016 In this chapter we will develop the wave equation as a model for the vibrating string problem, and derive d’Alembert’s explicit solution in one dimension using the method of characteristics introduced in Chap. 3.
Hervé Le Dret, Brigitte Lucquin
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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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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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The Whitham Equation as a Model for Surface Water Waves [PDF]
, 2014 The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear dispersion relation of the water wave
Ablowitz +33 more
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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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