41 citations · 92 across the 6 of their papers we have counts for
6 papers
Linearized Korteweg -- De Vries equation on a tree with unbounded root and edges
Maqsad. I. Akhmedov, Doniyor Babajanov, Marks Ruziboev
We investigate the linearized KdV equation on a metric tree consisting of three different types of bonds: incoming unbounded root, two finite bonds, and four outgoing unbounded bon…
Dynamics of trapped interacting vortices in Bose-Einstein condensates: Role of breathing degree of freedom
Katsuhiro Nakamura, Doniyor Babajanov, Davron Matrasulov +2
With use of a variational principle, we investigate a role of breathing width degree of freedom in the effective theory of interacting vortices in a trapped single-component Bose-E…
Sine-Gordon solitons in networks: Scattering and transmission at vertices
Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2
We consider the sine-Gordon equation on metric graphs with simple topologies and derive vertex boundary conditions from the fundamental conservation laws, such as energy and curren…
Particle Transport in Graphene Nanoribbon Driven by Ultrashort Pulses
D. Babajanov, D. U. Matrasulov, R. Egger
We study charge transport in a graphene zigzag nanoribbon driven by an external time-periodic kicking potential. Using the exact solution of the time-dependent Dirac equation with…
Soliton transport in tubular networks: transmission at vertices in the shrinking limit
Hannes Uecker, Daniel Grieser, Zarif Sobirov +2
Soliton transport in tube-like networks is studied by solving the nonlinear Schroedinger equation (NLSE) on finite thickness ("fat") graphs. The dependence of the solution and of t…
Dynamics of inertial vortices in multi-component Bose-Einstein condensates
Katsuhiro Nakamura, Doniyor Babajanov, Davron Matrasulov +1
With use of the nonlinear Schr{ö}dinger (or Gross-Pitaevskii) equation with strong repulsive cubic nonlinearity, dynamics of multi-component Bose-Einstein condensates (BECs) with a…