| Abstract: |
| Symmetry method provides significant insights for finding exact analytic solutions of differential equations; their extensions to difference as well as semi-discrete equations have been greatly investigated during last decades. In this talk, we are mainly focused on general prolongation formulae for continuous symmetries of semi-discrete equations, which is essential for symmetry analysis but has been unclear for quite some time. These formulae will allow us to establish the semi-discrete version of Noether`s theorem connecting variational symmetries and conservation laws. |
|