6 citations · 15 across the 11 of their papers we have counts for
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Parasupersymmetric structure of the Boussinesq-type systems
A. V. Yurov
We study Darboux transformations for a Boussinesq-type equations. The parasupersymmetric structure of link between Boussinesq and modified Boussinesq systems is revealed.
Complex field as inflaton and quintessence
A. V. Yurov
We investigate cosmology with complex scalar field. It is shown that such models can describe two stages of inflation and the oscillatory regime. Thus we don't need both quintessen…
Tachyonic Instability and Darboux Transformation
A. V. Yurov
Using Darboux transformation one can construct infinite family of potentials which lead to the flat spectrum of scalar field fluctuations with arbitrary multiple precision, and, at…
Brane World Models And Darboux Transformations
A. V. Yurov
We consider a 5-D gravity plus a bulk scalar field, and with a 3-brane. The Darboux transformation is used to construct some exact solutions. To do this we reduce the system of equ…