Differential-geometrical method and new class of exact solutions of $\vec n$ -field equations

The concepts of classical differential geometry have been used to develop a new method for producing a broad class of solutions for equations of $\vec n$ -field theory. The method is based on hodograph trasformation and subsequent treating the desired equation as a differential connection for a curvilinear coordinate system in a Enclidean space. The solutions produced this way depend on three arbitrary functions.