87 citations · 301 across the 24 of their papers we have counts for
6 papers · 1 filter
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…
Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
K. Sabirov, D. Matrasulov, M. Akramov +1
We consider PT-symmetric, nonlocal nonlinear Schrodinger equation on metric graphs. Vertex boundary conditions are derived from the conservation laws. Soliton solutions are obtaine…
Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions
K. K. Sabirov, J. R. Yusupov, M. M. Aripov +2
We consider the problem of absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflect…
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…
The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies
K. Sabirov, S. Rakhmanov, D. Matrasulov +1
We consider the stationary sine-Gordon equation on metric graphs with simple topologies. The vertex boundary conditions are provided by flux conservation and matching of derivative…
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…