L.-Q. Zhou, S. V. Meleshko, “Symmetry groups of integrodifferential equations for linear thermoviscoelastic materials with memory”, Prikl. Mekh. Tekh. Fiz., 2017, Volume 58, Issue 4,Pages <nobr>22

This article is cited in 8 papers

Symmetry groups of integrodifferential equations for linear thermoviscoelastic materials with memory

L.-Q. Zhou^a, S. V. Meleshko^b

^a School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, 550025, China
^b School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand

Abstract: The group analysis method is applied to a system of integrodifferential 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 governing equations for the system is obtained. Using subalgebras of the admissible Lie algebra, two classes of partially invariant solutions of the considered system of integrodifferential equations are studied.

Keywords: linear thermoviscoelasticity, symmetry groups, partially invariant solutions, integrodifferential equations.

UDC: 517.9

Received: 30.06.2016
Revised: 28.08.2016

DOI: 10.15372/PMTF20170403