Lax pairs

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines A pair of matrices or operators (L, P) such that the evolution equation dL/dt = [P, L] holds
gptkbp:field integrable systems
mathematical physics
partial differential equations
https://www.w3.org/2000/01/rdf-schema#label Lax pairs
gptkbp:introduced gptkb:Peter_Lax
gptkbp:introducedIn 1968
gptkbp:namedAfter gptkb:Peter_Lax
gptkbp:property allow the use of inverse scattering transform
imply integrability of the system
gptkbp:usedIn gptkb:Toda_lattice
gptkb:Korteweg–de_Vries_equation
gptkb:nonlinear_Schrödinger_equation
soliton theory
gptkbp:bfsParent gptkb:Melvin_Lax
gptkbp:bfsLayer 5