|
gptkbp:instanceOf
|
partial differential equations
|
|
gptkbp:appliesTo
|
Sound Waves
Water Waves
Light Waves
|
|
gptkbp:borders
|
Dirichlet Boundary Condition
Neumann Boundary Condition
|
|
gptkbp:category
|
Hyperbolic Partial Differential Equation
|
|
gptkbp:describes
|
Wave Propagation
|
|
gptkbp:dimensions
|
One-Dimensional
Three-Dimensional
Two-Dimensional
|
|
gptkbp:field
|
gptkb:Mathematics
gptkb:Physics
|
|
gptkbp:form
|
∂²u/∂t² = c²∇²u
u(x, t)
|
|
gptkbp:generalizes
|
D'Alembert's Equation
|
|
gptkbp:governs
|
gptkb:Electromagnetic_Waves
gptkb:Vibrating_String
Seismic Waves
|
|
gptkbp:hasProperty
|
gptkb:Second_Order
Causality
Linearity
Homogeneity
Isotropy
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Wave Equation
|
|
gptkbp:introduced
|
gptkb:Jean_le_Rond_d'Alembert
|
|
gptkbp:introducedIn
|
1746
|
|
gptkbp:notableFor
|
Radio Transmission
String Instruments
Earthquake Analysis
|
|
gptkbp:parameter
|
Wave Speed (c)
|
|
gptkbp:relatedTo
|
gptkb:Schrödinger_Equation
gptkb:Maxwell's_Equations
Klein-Gordon Equation
|
|
gptkbp:solvedBy
|
gptkb:Fourier_Transform
gptkb:Laplace_Transform
gptkb:Superposition_Principle
gptkb:Harmonic_Functions
Standing Waves
Separation of Variables
Traveling Waves
|
|
gptkbp:usedIn
|
gptkb:Quantum_Mechanics
gptkb:Acoustics
gptkb:Fluid_Dynamics
Engineering
Electrodynamics
|
|
gptkbp:variant
|
Spatial Coordinate (x, y, z)
Time (t)
|
|
gptkbp:bfsParent
|
gptkb:Wave_on_a_String
|
|
gptkbp:bfsLayer
|
7
|