AKNS system


In mathematics, the AKNS system is an integrable system of partial differential equations, introduced by and named after.

Definition

The AKNS system is a pair of two partial differential equations for two complex-valued functions p and q of 2 variables t and x:
If p and q are complex conjugates this reduces to the nonlinear Schrödinger equation.
Huygens' principle applied to the Dirac operator gives rise to the AKNS hierarchy.