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Zbl 1217.35166
Polyanin, A.D.
New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics. (English. Russian original)
[J] Dokl. Math. 78, No. 1, 607-611 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 421, No. 6, 744-748 (2008). ISSN 1064-5624; ISSN 1531-8362/e

From the text: New classes of exact solutions to some general nonlinear equations and systems of equations of mathematical physics are described that involve arbitrary functions. Special attention is given to equations and systems of equations encountered in the theory of mass and heat transfer, mathematical biology, and wave theory. In this paper, an exact solution is regarded in the sense of the definition given in [{\it A. D. Polyanin, V. F. Zaitsev} and {\it A. I. Zhurov}, Methods for solving nonlinear equations in mathematical physics and mechanics. Fizmatlit, Mowcow, (2005)], page 10.

MSC 2000:: *35Q53 KdV-like equations
35Q79
35Q92
35C05 Solutions of PDE in closed form
80A20 Heat and mass transfer
35A24

Keywords: reaction-diffusion equations; mass transfer; heat transfer; mathematical biology; exact solutions

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