7 citations · 14 across the 4 of their papers we have counts for
4 papers
On dissipation operators of Quantum Optics
A. I. Komech, E. A. Kopylova
We consider dissipation operators used in Quantum Optics for the description of quantum spontaneous emission in the context of damped driven Jaynes-Cummings equations. The equation…
On asymptotic stability of solitons for nonlinear Schödinger equation
A. I. Komech, E. A. Kopylova, D. Stuart
The long-time asymptotics is analyzed for finite energy solutions of the 1D Schrödinger equation coupled to a nonlinear oscillator; mathematically the system under study is a nonli…
Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation
Alexander Komech, Andrew Komech
We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that…
On Asymptotic Stability of Solitary Waves in a Nonlinear Schrödinger Equation
V. Buslaev, A. Komech, E. Kopylova +1
The long-time asymptotics is analyzed for finite energy solutions of the 1D Schrödinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to…