Geodesic
On the Solution of Boundary-Value Problems of Kolmogorov--Petrovskii--Piskunov Type
Matematičeskie zametki, Tome 83 (2008) no. 4, pp. 618-628

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We describe a number of properties of solutions of boundary-value problems for nonlinear ordinary differential equations of the same type as those studied by Kolmogorov, Petrovskii, and Piskunov in their well-known paper on waves described by the parabolic equation. We construct and justify the asymptotics of such solutions for large values of the modulus of the independent variable.
Keywords: nonlinear ordinary differential equation, boundary-value problem, nonlinear parabolic equation, asymptotic expansion. 
@article{MZM_2008_83_4_a13,
     author = {B. I. Suleimanov},
     title = {On the {Solution} of {Boundary-Value} {Problems} of {Kolmogorov--Petrovskii--Piskunov} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {618--628},
     publisher = {mathdoc},
     volume = {83},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a13/}
}
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B. I. Suleimanov. On the Solution of Boundary-Value Problems of Kolmogorov--Petrovskii--Piskunov Type. Matematičeskie zametki, Tome 83 (2008) no. 4, pp. 618-628. http://geodesic.mathdoc.fr/item/MZM_2008_83_4_a13/