22 citations · 32 across the 3 of their papers we have counts for
3 papers
q-fin.CP2008★ 1 cited
Nonlinear Fokker-Planck Equation in the Model of Asset Returns
Alexander Shapovalov, Andrey Trifonov, Elena Masalova
The Fokker-Planck equation with diffusion coefficient quadratic in space variable, linear drift coefficient, and nonlocal nonlinearity term is considered in the framework of a mode…
math.QA2000★ 9 cited
Manin-Olshansky triples for Lie superalgebras
Dimitry Leites, Alexander Shapovalov
Following V. Drinfeld and G. Olshansky, we construct Manin triples $(\fg, \fa, \fa^*)$ such that $\fg$ is different from Drinfeld's doubles of $\fa$ for several series of Lie super…
math.AP1999★ 22 cited
Semiclassical solutions of the nonlinear Schrödinger equation
Alexander Shapovalov, A. Yu. Trifonov
A concept of semiclassically concentrated solutions is formulated for the multidimensional nonlinear Schrödinger equation (NLSE) with an external field. These solutions are conside…