Abstract
Both the Lie andQ-conditional symmetry of a certain linear transport equation are studied and classes of its exact solutions are obtained.
This is a preview of subscription content, log in via an institution to check access.
References
V. I. Fushchich, V. M. Shtelen', and N. I. Serov,Symmetry Analysis and Exact Solutions of Nonlinear Equations of Mathematical Physics [in Russian], Naukova Dumka, Kiev (1989).
V. I. Fushchich and R. O. Popovich, “Symmetry reduction of the Navier-Stokes equations to linear two-dimensional systems of equations,”Dopov. Akad. Nauk Ukrainy, No. 8, 29–37 (1992).
V. V. Pukhnachev, “Group properties of the Navier-Stokes equations in the plane case,”Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 83–90 (1960).
V. I. Fushchich, V. M. Shtelen', M. I. Serov, and R. O. Popovich, “Q-conditional symmetry of the linear heat equation,”Dopov. Akad. Nauk Ukrainy, No. 8, 29–37 (1992).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 121–125, January, 1995.
Rights and permissions
About this article
Cite this article
Popovich, R.O. On the symmetry and exact solutions of a certain transport equation. Ukr Math J 47, 142–148 (1995). https://doi.org/10.1007/BF01058806
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01058806