3 papers
nlin.SI2000
On Psi-function for finite-gap potentials
N. V. Ustinov, Yu. V. Brezhnev
A way to derive an explicit formulae in terms of the potentials, if they are finite-gap, for the solutions of spectral problems and corresponding algebraic curves is presented.
nlin.SI2000
Darboux-integrable equations with non-Abelian nonlinearities
Nikolai V. Ustinov, Marek Czachor
We introduce a new class of nonlinear equations admitting a representation in terms of Darboux-covariant compatibility conditions. Their special cases are, in particular, (i) the "…
quant-ph1998
On exact solutions of Maxwell-Bloch system for two-level medium with degeneracy
S. B. Leble, N. V. Ustinov
Maxwell-Bloch system describing the resonant propagation of electromagnetic pulses in both two-level media with degeneracy in angle moment projection and three-level media with equ…