defocusing nonlinear Schrödinger equation
GPTKB entity
Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:application |
gptkb:Bose-Einstein_condensates
water waves wave propagation in nonlinear media |
| gptkbp:contrastsWith |
gptkb:focusing_nonlinear_Schrödinger_equation
|
| gptkbp:field |
gptkb:nonlinear_optics
applied mathematics mathematical physics |
| gptkbp:form |
integrable in 1D
i∂ψ/∂t + Δψ - |ψ|^2ψ = 0 non-integrable in higher dimensions |
| https://www.w3.org/2000/01/rdf-schema#label |
defocusing nonlinear Schrödinger equation
|
| gptkbp:property |
conservation of energy
conservation of mass global well-posedness in energy space scattering for large data |
| gptkbp:relatedTo |
gptkb:nonlinear_Schrödinger_equation
|
| gptkbp:solvedBy |
dispersive solutions
soliton-free |
| gptkbp:studiedBy |
gptkb:Jean_Bourgain
gptkb:Terence_Tao gptkb:Carlos_Kenig 1960s |
| gptkbp:symmetry |
gptkb:Galilean_invariance
gauge invariance space translation invariance time translation invariance |
| gptkbp:bfsParent |
gptkb:nonlinear_Schrödinger_equation
|
| gptkbp:bfsLayer |
7
|