Skobeltsyn Institute of Nuclear Physics
Lomonosov Moscow State University

A dark energy model with a phantom scalar field, an usual scalar field and the
string field theory inspired polynomial potential has been constructed. A two-parameter
set of exact solutions to the Friedmann equations has been found. We have constructed
such stringy inspired potential that some exact solutions correspond to the state
parameter w_{DE}>-1 at large time, whereas other ones correspond to w_{DE}<-1 at
large time. We demonstrate that the superpotential method is very effective to seek
new exact solutions.