5 citations · 5 across the 3 of their papers we have counts for
3 papers
Operator Separation Of Variables For Adiabatic Problems In Quantum And Wave Mechanics
V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskiy
We study linear problems of mathematical physics in which the adiabatic approximation is used in the wide sense. Using the idea that all these problems can be treated as problems w…
On Maslov Conjecture about Square Root Type Singular Solutions of the Shallow Water Equations
S. Dobrokhotov, K. Pankrashkin, E. Semenov
We prove Maslov's conjecture that the structure of the type of square root of a quadratic form is the unique structure of weakly singular solutions (with a point singularity) of th…
On Averaging for Hamiltonian Systems with One Fast Phase and Small Amplitudes
J. Bruening, S. Yu. Dobrokhotov, M. Poteryakhin
The problem of averaging for systems with one fast phase was considered from various points of view in many papers. The averaging method of Krylov and Bogolyubov and methods of KAM…