output
20112017
most citedSoliton transport in tubular networks: transmission at vertices in the shrinking limit

41 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

7 papers

nlin.PS2017

Nonlinear standing waves on planar branched systems: Shrinking into metric graph

Z. Sobirov, D. Babajanov, D. Matrasulov

We treat the stationary nonlinear Schroodinger equation on two-dimensional branched domains, so-called fat graphs. The shrinking limit when the domain becomes one-dimensional metri…

nlin.PS2015★ 30 cited

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…

nlin.PS2014★ 41 cited

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…

cond-mat.quant-gas2012★ 12 cited

Bernoulli's formula and Poisson's equations for a confined quantum gas: Effects due to a moving piston

Katsuhiro Nakamura, Zarifboy A. Sobirov, Davron U. Matrasulov +1

We study a nonequilibrium equation of states of an ideal quantum gas confined in the cavity under a moving piston with a small but finite velocity in the case that the cavity wall…

cond-mat.mes-hall2012

Time-dependent quantum graph

D. U. Matrasulov, J. R. Yusupov, K. K. Sabirov +1

In this paper we study quantum star graphs with time-dependent bond lengths. Quantum dynamics is treated by solving Schrodinger equation with time-dependent boundary conditions giv…

math.DS2012★ 1 cited

Dynamics of two-dimensional evolution algebras

U. A. Rozikov, Sh. N. Murodov

Recently by Casas, Ladra and Rozikov a notion of a chain of evolution algebras is introduced. This chain is a dynamical system the state of which at each given time is an evolution…

nlin.SI2011★ 36 cited

Stationary Nonlinear Schrödinger Equation on Simplest Graphs: Boundary conditions and exact solutions

Z. A. Sobirov, K. K. Sabirov, D. U. Matrasulov

We treat the stationary (cubic) nonlinear Schrödinger equation (NSLE) on simplest graphs. Formulation of the problem and exact analytical solutions of NLSE are presented for star g…