cubic nonlinear Schrödinger equation

URI: https://gptkb.org/entity/cubic_nonlinear_Schrödinger_equation
GPTKB entity
Statements (33)
Predicate Object
gptkbp:instanceOf partial differential equations
gptkbp:describes evolution of complex-valued wave functions
gptkbp:field applied mathematics
mathematical physics
nonlinear dynamics
gptkbp:form i∂ψ/∂t + Δψ + κ|ψ|^2ψ = 0
gptkbp:hasApplication fiber optics
plasma physics
nonlinear wave propagation
gptkbp:hasConservationLaw gptkb:energy
marina
momentum
gptkbp:hasInitialValueProblem gptkb:Cauchy_problem
gptkbp:hasNonlinearity cubic
gptkbp:hasSpecialCase gptkb:nonlinear_Schrödinger_equation
gptkbp:hasType soliton
blow-up solution
dispersive wave
https://www.w3.org/2000/01/rdf-schema#label cubic nonlinear Schrödinger equation
gptkbp:isIntegrable in one dimension
gptkbp:parameter dispersion coefficient
nonlinearity coefficient
gptkbp:relatedTo gptkb:Kerr_effect
gptkb:Gross–Pitaevskii_equation
integrable systems
gptkbp:studiedBy gptkb:mathematician
physicists
gptkbp:usedIn gptkb:optics
gptkb:Bose-Einstein_condensates
quantum mechanics
water waves
gptkbp:bfsParent gptkb:nonlinear_Schrödinger_equation
gptkbp:bfsLayer 7