Geodesic
Nonlinear diffusion equations and invariant manifolds
Matematičeskoe modelirovanie, Tome 4 (1992) no. 8, pp. 31-46.

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It is proposed to use the invariant manifolds in order to pick up some classes of the solution of the Kolmogorov–Petrovskii–Piskunov equations are obtained. The new reductions of some multidimensional diffusion equations are presented. 
@article{MM_1992_4_8_a2,
     author = {O. V. Kaptsov},
     title = {Nonlinear diffusion equations and invariant manifolds},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {31--46},
     publisher = {mathdoc},
     volume = {4},
     number = {8},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1992_4_8_a2/}
}
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O. V. Kaptsov. Nonlinear diffusion equations and invariant manifolds. Matematičeskoe modelirovanie, Tome 4 (1992) no. 8, pp. 31-46. http://geodesic.mathdoc.fr/item/MM_1992_4_8_a2/