nonlinear Schrödinger equation

GPTKB entity

Predicate	Object
gptkbp:instanceOf	partial differential equations
gptkbp:application	modeling rogue waves modeling self-focusing modeling supercontinuum generation
gptkbp:describes	wave propagation in nonlinear media
gptkbp:field	gptkb:nonlinear_optics mathematical physics quantum mechanics
gptkbp:form	i∂ψ/∂t + ∇²ψ + f(\|ψ\|²)ψ = 0
gptkbp:generalizes	gptkb:linear_Schrödinger_equation
gptkbp:hasType	collapse soliton breather
https://www.w3.org/2000/01/rdf-schema#label	nonlinear Schrödinger equation
gptkbp:integrableIn	one spatial dimension
gptkbp:introducedIn	1968
gptkbp:notableVariant	gptkb:cubic_nonlinear_Schrödinger_equation gptkb:defocusing_nonlinear_Schrödinger_equation gptkb:focusing_nonlinear_Schrödinger_equation
gptkbp:relatedTo	gptkb:Korteweg–de_Vries_equation gptkb:Ginzburg–Landau_equation gptkb:Gross–Pitaevskii_equation
gptkbp:studiedBy	gptkb:Alexei_Shabat gptkb:Vladimir_Zakharov
gptkbp:symmetry	gptkb:Galilean_invariance phase invariance
gptkbp:usedIn	gptkb:Bose-Einstein_condensates fiber optics plasma physics
gptkbp:bfsParent	gptkb:Lax_pair gptkb:Morawetz_inequality gptkb:Lax_pairs gptkb:Non-Linear_Wave_Mechanics
gptkbp:bfsLayer	6