The Soliton Equations associated with the Affine Kac-Moody Lie Algebra G_2^{(1)}

Paolo Casati, Alberto Della Vedova, Giovanni Ortenzi

We construct in an explict way the soliton equation corresponding to the affine Kac--Moody Lie algebra $G_2^{(1)}$ together with their bihamiltonian structure. Moreover the Riccati…