KdV hierarchy

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:integrable_system
gptkbp:contains infinite sequence of nonlinear partial differential equations
gptkbp:generalizes gptkb:Korteweg–de_Vries_equation
gptkbp:hasApplication fluid dynamics
mathematical analysis
nonlinear waves
gptkbp:hasEquation u_t + 6uu_x + u_{xxx} = 0 (KdV equation)
gptkbp:hasProperty gptkb:Lax_pair
integrability
infinite conservation laws
https://www.w3.org/2000/01/rdf-schema#label KdV hierarchy
gptkbp:namedAfter gptkb:Diederik_Korteweg
gptkb:Gustav_de_Vries
gptkbp:relatedTo gptkb:Korteweg–de_Vries_equation
inverse scattering transform
gptkbp:studiedIn mathematical physics
soliton theory
gptkbp:bfsParent gptkb:Gelfand–Dikii_hierarchy
gptkbp:bfsLayer 5