cosmology,
brane,
dark energy,
Darboux transformations,
supersymmetry.
Subject:
Exact solutions of Friedmann equations; brane theory; Darboux transformation in the theory of multidimensional integrable systems; supersymmetry quantum mechanics.
Main publications:
A. V. Yurov, “Brane-like singularities with no brane”, Physics Letters B, 2010, no. 689, 1–7
A. V. Yurov, A. V. Astashenok, “Metod linearizatsii i novye tochnye resheniya v kosmologii”, Teoreticheskaya i matematicheskaya fizika, 158:2 (2009), 312–320
A. V. Yurov, A. V. Astashenok, P. F. Gonzalez-Diaz, “Astronomical bound on a future big freeze singularity”, Gravitation and Cosmology, 14:3 (2008), 205–212
A. V. Yurov, P. M. Moruno, P. F. Gonzalez-Diaz, “New “Bigs” in cosmology”, Nucl. Phys. B, 759 (2006), 320–341
A. V. Yurov, V. A. Yurov, “The nonsingular brane solutions via the Darboux transformation”, Phys. Rev. D, 72 (2005), 026003
A. V. Yurov, V. A. Yurov, S. V. Chervon, M. Sami, “Total energy potential as a superpotential in integrable cosmological models”, TMF, 166:2 (2011), 299–311; Theoret. and Math. Phys., 166:2 (2011), 259–269
A. V. Yurov, A. V. Astashenok, “The linearization method and new classes of exact solutions in cosmology”, TMF, 158:2 (2009), 312–320; Theoret. and Math. Phys., 158:2 (2009), 262–269
M. D. Vereshchagin, S. D. Vereshchagin, A. V. Yurov, “The Mutar 3D-transformation”, Matem. Mod., 18:5 (2006), 111–125
4.
A. V. Yurov, A. A. Yurova, “One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid”, TMF, 147:1 (2006), 64–72; Theoret. and Math. Phys., 147:1 (2006), 501–508
S. D. Vereshchagin, A. V. Yurov, “The Darboux Transformation and Exactly Solvable Cosmological Models”, TMF, 139:3 (2004), 405–422; Theoret. and Math. Phys., 139:3 (2004), 787–800
A. V. Yurov, “Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations”, TMF, 119:3 (1999), 419–428; Theoret. and Math. Phys., 119:3 (1999), 731–738
A. V. Yurov, “On localized solutions of the Davey–Stewartson 1 equations”, TMF, 112:3 (1997), 395–398; Theoret. and Math. Phys., 112:3 (1997), 1113–1116
A. V. Yurov, “Bäcklund–Shlesinger transformations for Davey–Stewartson equations”, TMF, 109:3 (1996), 338–346; Theoret. and Math. Phys., 109:3 (1996), 1508–1514
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