Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
one-dimensional wave equation
|
| gptkbp:expressedIn |
solution as sum of two traveling waves
|
| gptkbp:field |
mathematical physics
partial differential equations |
| gptkbp:hasEquation |
u(x,t) = 1/2 [f(x+ct) + f(x-ct)] + 1/(2c) ∫_{x-ct}^{x+ct} g(s) ds
|
| https://www.w3.org/2000/01/rdf-schema#label |
d'Alembert's formula
|
| gptkbp:namedAfter |
gptkb:Jean_le_Rond_d'Alembert
|
| gptkbp:provides |
general solution to the Cauchy problem for the wave equation
|
| gptkbp:publishedIn |
1747
|
| gptkbp:usedFor |
solving initial value problems
|
| gptkbp:bfsParent |
gptkb:wave_equation
gptkb:Jean_le_Rond_d'Alembert |
| gptkbp:bfsLayer |
6
|