13 citations · 16 across the 2 of their papers we have counts for
3 papers
An amplitude-phase (Ermakov-Lewis) approach for the Jackiw-Pi model of bilayer graphene
K. V. Khmelnytskaya, H. C. Rosu
In the context of bilayer graphene we use the simple gauge model of Jackiw and Pi to construct its numerical solutions in powers of the bias potential V according to a general sche…
On a complex differential Riccati equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many propertie…
On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
Sergei M. Grudsky, Kira V. Khmelnytskaya, Vladislav V. Kravchenko
Maxwell's equations for the time-dependent electromagnetic field in a homogeneous chiral medium are reduced to a single quaternionic equation. Its fundamental solution satisfying t…