The r-matrix structure of the restricted coupled AKNS-Kaup-Newell flow Original Research Article

The restricted coupled AKNS-Kaup-Newell flow and its Lax representation are presented. The corresponding Lax operator possesses an r-matrix formulation. Therefore, the complete integrability is established for the restricted coupled AKNS-Kaup-Newell flow. The resulting restricted flow contains the restricted AKNS flow and the restricted Kaup-Newell flow as two special reductions.