Geodesic
Differential-geometrical method and new class of exact solutions of $\vec n$-field equations
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 326-334 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{JMAG_2003_10_3_a4,
     author = {A. B. Borisov},
     title = {Differential-geometrical method and new class of exact solutions of $\vec n$-field equations},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {326--334},
     year = {2003},
     volume = {10},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a4/}
}
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A. B. Borisov. Differential-geometrical method and new class of exact solutions of $\vec n$-field equations. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 326-334. http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a4/