cubic-quintic nonlinear Schrödinger equation

GPTKB entity

Predicate	Object
gptkbp:instanceOf	partial differential equations
gptkbp:appliesTo	nonlinear wave propagation self-focusing and defocusing media
gptkbp:differential_order	first order in time second order in space
gptkbp:field	gptkb:nonlinear_optics applied mathematics mathematical physics
gptkbp:first_studied_in	1980s
gptkbp:generalizes	gptkb:nonlinear_Schrödinger_equation
gptkbp:has_form	i∂ψ/∂t + α∇²ψ + β\|ψ\|²ψ + γ\|ψ\|⁴ψ = 0
https://www.w3.org/2000/01/rdf-schema#label	cubic-quintic nonlinear Schrödinger equation
gptkbp:includes_term	cubic nonlinearity quintic nonlinearity
gptkbp:parameter	α (dispersion coefficient) β (cubic nonlinearity coefficient) γ (quintic nonlinearity coefficient)
gptkbp:relatedTo	gptkb:Gross-Pitaevskii_equation gptkb:Ginzburg-Landau_equation
gptkbp:solution_type	gptkb:bright_soliton gptkb:dark_soliton gptkb:vortex_soliton
gptkbp:studiedBy	pattern formation soliton solutions
gptkbp:used_in	gptkb:Bose-Einstein_condensates modeling light propagation in nonlinear media
gptkbp:bfsParent	gptkb:Nonlinear_Schrödinger_equation
gptkbp:bfsLayer	6