2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84950The 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.4 pages, revtex4, 1 eps figurePlasma PhysicsFluid DynamicsAn integrable localized approximation for interaction of two nearly anti-parallel sheets of the generalized vorticity in 2D ideal electron-magnetohydrodynamic flowstext