A MODIFIED DISCRETE SINE-GORDON MODEL

We modify the recently proposed model of Speight and Ward to make it p ossess time dependent solutions. We find that for each lattice spacing and for each velocity of the sine Gordon kink we can find a modificat ion of the model for which this kink is a solution. We find that this model has realty 3 'kink-like' solutions; the original kink, the stati c kink and a further kink moving with velocity upsilon similar to 0.97 . We discuss various properties of the model, from the point of view o f its usefulness for numerical simulations.