An integrable localized approximation for interaction of two nearly   anti-parallel sheets of the generalized vorticity in 2D ideal   electron-magnetohydrodynamic flows
  The formalism of frozen-in vortex lines for two-dimensional (2D) flows in ideal incompressible electron magnetohydrodynamics (EMHD) is formulated. A localized approximation for nonlinear dynamics of two close sheets of the generalized vorticity is suggested and its integrability by the hodograph method is demonstrated. 
V.P. Ruban