Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:abbreviation |
KdV equation
|
| gptkbp:application |
plasma physics
nonlinear wave propagation internal waves in oceans shallow water waves |
| gptkbp:category |
gptkb:integrable_system
partial differential equations evolution equation |
| gptkbp:describes |
waves on shallow water surfaces
|
| gptkbp:field |
fluid dynamics
mathematical physics |
| gptkbp:form |
∂u/∂t + 6u∂u/∂x + ∂³u/∂x³ = 0
|
| gptkbp:formedBy |
1895
|
| gptkbp:hasConservationLaw |
gptkb:energy
marina momentum |
| https://www.w3.org/2000/01/rdf-schema#label |
Korteweg–de Vries Equation
|
| gptkbp:integration |
yes
|
| gptkbp:namedAfter |
gptkb:Diederik_Korteweg
gptkb:Gustav_de_Vries |
| gptkbp:notable_for |
multi-soliton solution
solitary wave |
| gptkbp:relatedTo |
gptkb:Burgers'_equation
gptkb:Nonlinear_Schrödinger_equation Sine-Gordon equation |
| gptkbp:solvedBy |
soliton
inverse scattering transform |
| gptkbp:bfsParent |
gptkb:Waves_in_Fluids
gptkb:Nonlinear_Evolution_Equations |
| gptkbp:bfsLayer |
8
|