Classification of Symmetry Properties of the (1 + 2)-Dimensional Reaction–Convection–Diffusion Equation

Author:

Serov M. I.,Serova M. M.,Prystavka Yu. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference53 articles.

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2. L. V. Ovsyannikov, “Group properties of nonlinear heat-conduction equations,” Dokl. Akad. Nauk SSSR,125, 492–495 (1959).

3. V. L. Katkov, “Group classification and solutions of the Hopf equation,” Zh. Prikl. Mekh. Teor. Fiz.,6, 105–106 (1965).

4. V. A. Tychinin, “Symmetry and exact solutions of the equation ut=h(u)uxx;” in: Symmetry Analysis and Solutions of the Equations of Mathematical Physics, Proc. of the Institute of Mathematics, Academy of Sciences of Ukr. SSR [in Russian], Kiev, No. 8 (1988), pp. 72–77.

5. V. A. Dorodnitsyn, I. V. Knyazeva, and S. R. Svirshchevskii, “Group properties of the heat-conduction equation with sources in two and three-dimensional cases,” Differents. Uravn.,19, 1215–1223 (1983).

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