Statements (36)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:appliesTo |
water waves
sound waves light waves |
| gptkbp:category |
hyperbolic partial differential equation
|
| gptkbp:describes |
propagation of waves
|
| gptkbp:dimensions |
three-dimensional
two-dimensional one-dimensional |
| gptkbp:field |
gptkb:mathematics
physics |
| gptkbp:firstPublished |
gptkb:Jean_le_Rond_d'Alembert
|
| gptkbp:form |
∂²u/∂t² = c²∇²u
|
| https://www.w3.org/2000/01/rdf-schema#label |
wave equation
|
| gptkbp:introducedIn |
1746
|
| gptkbp:relatedTo |
gptkb:Maxwell's_equations
gptkb:Schrödinger_equation gptkb:Klein-Gordon_equation |
| gptkbp:solvedBy |
gptkb:d'Alembert's_formula
gptkb:Fourier_transform separation of variables |
| gptkbp:usedIn |
acoustics
electromagnetism engineering fluid dynamics quantum mechanics |
| gptkbp:variant |
t (time)
c (wave speed) u (displacement) ∇² (Laplacian) |
| gptkbp:bfsParent |
gptkb:Optics
gptkb:Helmholtz_equation gptkb:Differential_equations gptkb:Acoustics gptkb:Bardeen–Press_equation |
| gptkbp:bfsLayer |
5
|