A modified discrete sine-Gordon Model

Details A modified discrete sine-Gordon Model A modified discrete sine-Gordon Model

1994-09-30

arxiv.org/abs/hep-ph/9409452v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

23pages, NI-94014

Scientific paper

10.1088/0951-7715/8/4/004

We modify the recently proposed model of Speight and Ward to make it possess time dependent solutions. We find that for each lattice spacing and for each velocity of the sine Gordon kink we can find a modification of the model for which this kink is a solution. We find that this model has really 3 ``kink-like" solutions; the original kink, the static kink and a further kink moving with velocity $v\sim0.97$. We discuss various properties of the model, from the point of view of its usefulness for numerical simulations.

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