Symplectically-invariant soliton equations from non-stretching geometric curve flows

Stephen C. Anco, Esmaeel Asadi

A moving frame formulation of geometric non-stretching flows of curves in the Riemannian symmetric spaces $Sp(n+1)/Sp(1)\times Sp(n)$ and $SU(2n)/Sp(n)$ is used to derive two bi-Ha…