34 citations · 234 across the 33 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
nlin.SI2020★ 1 cited
Transparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line
K. K. Sabirov, J. R. Yusupov, M. Ehrhardt +1
We consider the reflectionless transport of sine-Gordon solitons on a line. Transparent boundary conditions for the sine-Gordon equation on a line are derived using the so-called p…
quant-ph2020
Dirac particles on periodic quantum graphs
J. R. Yusupov, K. K. Sabirov, D. U. Matrasulov
We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the…