This article is cited in 2 papers

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

A. B. Borisov

Institute of Metal Physics, Ural Division of the Russian Academy of Sciences

Abstract: 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.

MSC: 35J35

Received: 19.05.2003

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