The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e...

The Schrödinger equation is a partial differential equation that governs the wave function of a non-relativistic quantum-mechanical system.: 1–2  Its...

electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium...

physics, the acoustic wave equation is a second-order partial differential equation that governs the propagation of acoustic waves through a material medium...

mechanics (RQM) and its applications to particle physics, relativistic wave equations predict the behavior of particles at high energies and velocities comparable...

Rogue wave Scattering Shallow water equations Shive wave machine Sound Standing wave Transmission medium Velocity factor Wave equation Wave power Wave turbulence...

speed of EM waves predicted by the wave equation coincided with the measured speed of light, Maxwell concluded that light itself is an EM wave. Maxwell's...

the wave equation, the diffusion equation, and the Schrödinger equation for a free particle. In optics, the Helmholtz equation is the wave equation for...

Schrödinger equation determines how wave functions evolve over time, and a wave function behaves qualitatively like other waves, such as water waves or waves on...

Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation. It...

one-dimensional wave equation, and within ten years Euler discovered the three-dimensional wave equation. The Euler–Lagrange equation was developed in...

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...

areas involving elastic waves, S waves, secondary waves, or shear waves (sometimes called elastic S waves) are a type of elastic wave and are one of the two...

Burgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas...

of substantial contemporary interest. The model hyperbolic equation is the wave equation. In one spatial dimension, this is ∂ 2 u ∂ t 2 = c 2 ∂ 2 u ∂...

component wave function, and hence the wave packet, are solutions of a wave equation. Depending on the wave equation, the wave packet's profile may remain constant...

This article summarizes equations in the theory of waves. A wave can be longitudinal where the oscillations are parallel (or antiparallel) to the propagation...

1926, Schrödinger published the wave equation that now bears his name – the matter wave analogue of Maxwell's equations – and used it to derive the energy...

Saint-Venant equations (aka Dynamic wave equation), we get the also classical Diffusive wave equation and Kinematic wave equation. For the diffusive wave it is...

wave equation, or nonhomogeneous electromagnetic wave equation, is one of a set of wave equations describing the propagation of electromagnetic waves...

In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the...

alternatives. Significantly, the combined wave function of the system and environment continue to obey the Schrödinger equation throughout this apparent collapse...

are called the "momentum equations" instead. Equations of wave motion are called wave equations. The solutions to a wave equation give the time-evolution...

the equation appears in the studies of small-amplitude gravity waves on the surface of deep inviscid (zero-viscosity) water; the Langmuir waves in hot...

thermodynamic equations List of equations in wave theory List of electromagnetism equations List of relativistic equations List of equations in fluid mechanics...

to model the wave propagation in marine sediments using fractional derivatives. The fractional Schrödinger equation, a fundamental equation of fractional...

In mathematical physics, the wave maps equation is a geometric wave equation that solves D α ∂ α u = 0 {\displaystyle D^{\alpha }\partial _{\alpha }u=0}...

mechanics. The Hamilton–Jacobi equation is a formulation of mechanics in which the motion of a particle can be represented as a wave. In this sense, it fulfilled...

considered the value of a wave along a wire. In two or three spatial dimensions, the same equation describes a travelling plane wave if position x {\displaystyle...

such a state of matter. The acoustic wave equation describes the propagation of sound waves. The acoustic wave equation for sound pressure in one dimension...