2 papers
nlin.SI2025
Burgers equation on networks: Metric graph based approach
K. K. Sabirov, Kh. Sh. Matyokubov, D. U. Matrasulov
Weconsider Burgers equation on metric graphs for simplest topologies such as star, loops, and tree graphs. Exact traveling wave solutions are obtained for the vertex boundary condi…
quant-ph2024
Fast forward problem for adiabatic quantum dynamics: Estimation of the energy cost
J. D. Matrasulov, J. R. Yusupov, Kh. Sh. Matyokubov
We consider the problem of energy cost needed for acceleration (deceleration) of the evolution of a quantum system using the Masuda-Nakamura fast forward protocol. In particular, w…