Article ID Journal Published Year Pages File Type
1901183 Reports on Mathematical Physics 2008 10 Pages PDF
Abstract

We consider the equation rotB+αB=0 on the plane with a being a real-valued function and show that it can be reduced to a Vekua equation of a special form. In the case when α depends on one Cartesian variable a complete system of exact solutions of the Vekua equation and hence of Eq. (1) is constructed basing on Bers' theory of pseudoanalytic formal powers.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics