An approximate solution of the system of Vlasov-Maxwell equations for
a collisionless current sheet with strongly anisotropic ion species (t
he hulk velocity outside the sheet is much greater than the thermal on
e) and sharply curved magnetic field lines (the curvature radius is mu
ch less than the ion gyroradius) is obtained in the form of a universa
l function with two asymptotics and an iterative procedure in between.
The magnetic held spatial scaling suggested by Francfort and Pellat [
1976] is confirmed analytically.