A one-way wave equation is a first-order partial differential equation describing one wave traveling in a direction defined by the vector wave velocity...

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...

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

cnoidal wave solutions. Further, since the Korteweg–de Vries equation is an approximation to the Boussinesq equations for the case of one-way wave propagation...

matter. The acoustic wave equation describes the propagation of sound waves. The acoustic wave equation for sound pressure in one dimension is given by...

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

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

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...

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...

field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were...

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

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...

guiding waves in terms of a relativistic wave equation were unsuccessful until in 1926 Schrödinger developed his non-relativistic wave equation. He further...

This is a list of wave topics. Contents:  Top 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z...

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

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

Fresnel equations give the ratio of the reflected wave's electric field to the incident wave's electric field, and the ratio of the transmitted wave's electric...

}}){\vec {u}}.} One class of solutions to this equation are waves that satisfy two conditions. First, if k → {\displaystyle {\vec {k}}} is the wave vector, u...

these waves occur at various wavelengths to produce a spectrum of radiation from radio waves to gamma rays. In partial differential equation form and...

Substituting this expression into the scalar wave equation above yields the time-independent form of the wave equation, Re ⁡ { ( ∇ 2 + k 2 ) ψ ( r ) } = 0 {\displaystyle...

of famous linear equations, such as the wave equation and the Schrödinger equation. One difficulty is their lack of regularity. In one dimensional space...

Kadomtsev–Petviashvili equation (often abbreviated as KP equation) is a partial differential equation to describe nonlinear wave motion. Named after Boris...

Scott Russell of the wave of translation (also known as solitary wave or soliton). The 1872 paper of Boussinesq introduces the equations now known as the...

display wave interference. Physical systems exhibiting wave behavior and described by the mathematics of wave equations include water waves, seismic waves, sound...

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...

{B}}gs}{V}}} where V is the volume. The propagation of spin waves is described by the Landau-Lifshitz equation of motion: d M d t = − γ M × H − λ M × ( M × H ) M...

affect the wave) and initial conditions of the system. In many cases (for example, in the classic wave equation), the equation describing the wave is linear...

S-waves (see Seismic wave). Elimination of displacements and strains from the governing equations leads to the Ignaczak equation of elastodynamics ( ρ...

three-dimensional space. While periodic travelling waves have been known as solutions of the wave equation since the 18th century, their study in nonlinear...

The symbol "•" denotes the inner product of two vectors. By this equation, the wave travels in the direction d ^ {\displaystyle {\widehat {d}}} and the...