3 papers
nlin.SI2026
Integrable equations with negative evolution numbers
Andrei Pogrebkov
Two integrable systems are constructed in a 2 + 1-dimensional space. Every of these systems involve two evolutions with negative numbers.
nlin.SI2024
Equation with the lower negative time number in the Davey--Stewartson hierarchy
A. K. Pogrebkov
In \textit{SIGMA} \textbf{17} (2021), 091, 12 p.p.\ we have presented an integrable system with a negative time variable number for the Davey-Stewartson hierarchy. Here we develop…
math-ph2024
Quantum aspect of the classical dynamics
Andrei K. Pogrebkov
We show that some quantum effects, such as the creation and annihilation of particles and the existence of dark energy, actually arise in study of known models of classical mechani…