Geodesic
On exact solutions of a nonclassical partial differential equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 11, pp. 1870-1875 
A. I. Aristov. On exact solutions of a nonclassical partial differential equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 11, pp. 1870-1875. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_11_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For a nonclassical nonlinear partial differential equation, several classes of solutions expressed in terms of elementary and special functions are constructed. Moreover, solutions of one of the classes contain an arbitrary sufficiently smooth function of a single argument. It is shown that, among these solutions, there are ones going to infinity in a finite time (blowing up) and ones that are bounded on any finite time interval.

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