Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory
- Authors: Zhou L.1,2, Meleshko S.V.2
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Affiliations:
- School of Mathematics and Statistics
- School of Mathematics
- Issue: Vol 58, No 4 (2017)
- Pages: 587-609
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160194
- DOI: https://doi.org/10.1134/S0021894417040034
- ID: 160194
Cite item
Abstract
The group analysis method is applied to a system of integro-differential equations corresponding to a linear thermoviscoelastic model. A recently developed approach for calculating the symmetry groups of such equations is used. The general solution of the determining equations for the system is obtained. Using subalgebras of the admitted Lie algebra, two classes of partially invariant solutions of the considered system of integro-differential equations are studied.
About the authors
L.-Q. Zhou
School of Mathematics and Statistics; School of Mathematics
Author for correspondence.
Email: longqiao@163.com
China, Guiyang, Guizhou, 550025; Nakhon Ratchasima, 30000
S. V. Meleshko
School of Mathematics
Email: longqiao@163.com
Thailand, Nakhon Ratchasima, 30000