Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory |
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Authors: | L-Q Zhou S V Meleshko |
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Institution: | 1.School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang, Guizhou,China;2.School of Mathematics,Suranaree University of Technology,Nakhon Ratchasima,Thailand |
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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. |
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