An integrable localized approximation for interaction of two nearly anti-parallel sheets of the generalized vorticity in 2D ideal electron-magnetohydrodynamic flows

摘要

The formalism of frozen-in vortex lines for two-dimensional (2D) flows inideal incompressible electron magnetohydrodynamics (EMHD) is formulated. Alocalized approximation for nonlinear dynamics of two close sheets of thegeneralized vorticity is suggested and its integrability by the hodographmethod is demonstrated.