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- Title
On exact solutions of a nonclassical partial differential equation.
- Authors
Aristov, A.
- Abstract
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.
- Subjects
NONCLASSICAL mathematical logic; PARTIAL differential equations; SPECIAL functions; ARBITRARY constants; SMOOTHNESS of functions; INFINITY (Mathematics)
- Publication
Computational Mathematics & Mathematical Physics, 2015, Vol 55, Issue 11, p1836
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542515110044