Construction of exact solutions for systems of diffusion equations
Matematičeskoe modelirovanie, Tome 7 (1995) no. 3, pp. 107-115
O. V. Kaptsov. Construction of exact solutions for systems of diffusion equations. Matematičeskoe modelirovanie, Tome 7 (1995) no. 3, pp. 107-115. http://geodesic.mathdoc.fr/item/MM_1995_7_3_a9/
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     author = {O. V. Kaptsov},
     title = {Construction of exact solutions for systems of diffusion equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {107--115},
     year = {1995},
     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1995_7_3_a9/}
}
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It is proposed to use differential substitutions for finding exact solutions for systems of diffusion equations. The systems that can be reduced to one equation are derived. We also consider the systems with two additional differential constrains. New reductions and exact solutions of diffusion equations are presented.