18 citations · 19 across the 3 of their papers we have counts for
3 papers
quant-ph2006★ 1 cited
Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections
Sergey Leble, Artem Yurov
The generalized zeta-function is built by a dressing method based on the Darboux covariance of the heat equation and used to evaluate the correspondent functional integral in quasi…
hep-th2003★ 18 cited
Space-time non-commutativity tends to create bound states
D. V. Vassilevich, A. Yurov
We study the spectrum of fluctuations about static solutions in 1+1 dimensional non-commutative scalar field models. In the case of soliton solutions non-commutativity leads to cre…
nlin.SI2002
Darboux transformation for classical acoustic spectral problem
A. A. Yurova, A. V. Yurov, M. Rudnev
We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two, by developing a Darboux (Moutard) transformation formalism f…