Abstract
The symmetry groups of one-dimensional and two-dimensional elastodynamics problem of nonlocal elasticity are obtained. Some solutions of integro-differential equations and nonlocal elasticity problems can be calculated using their symmetry groups. The results presented can be used as a preliminary tool in order to investigate solutions, symmetry groups of nonlocal elasticity problems and other problems including integro-differential equations. A specific field of application would be to get help from Lie symmetries in solutions of the boundary value problems of nonlocal elasticity whose classical solutions are singular.
| Original language | English |
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| Pages (from-to) | 725-733 |
| Number of pages | 9 |
| Journal | Mechanics Research Communications |
| Volume | 26 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1999 |