On geodesic hydrodynamic motions. Heisenberg spin connections

[摘要] It is established that, in steady circulation-preserving hydrodynamic motions with velocity q = qt subject to either of the geometric constraints t . curl t = 0 or div t = 0, the geodesic unit tangent t-field is constrained by privileged Heisenberg spin-type equations. In the case div t = 0, remarkably, the integrable Heisenberg spin equation related to the solitonic nonlinear Schrodinger equation is obtained. Corresponding results hold mutatis mutandis in magneto-hydrostatics. (C) 2000 Academic Press.

[发布日期] 2000-11-15