Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Sobirov, Z. A"'
In the present paper, we investigate the initial-boundary value problem for fractional order parabolic equation on a metric star graph in Sobolev spaces. First, we prove the existence and uniqueness results of strong solutions which are proved with t
Externí odkaz:
http://arxiv.org/abs/2408.17144
Publikováno v:
NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS. 8, 29 (2017)
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 metric graph is studied by using analytical estimate of the convergence of
Externí odkaz:
http://arxiv.org/abs/1703.09534
Publikováno v:
Nanosystems: Physics, Chemistry, Mathematics, 6 173 (2015)
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 given on graphs. Time-dependence of the average kinetic energy is analyze
Externí odkaz:
http://arxiv.org/abs/1206.5890
Publikováno v:
Phys. Lett. A, 377 860 (2013)
We treat the stationary (cubic) nonlinear Schr\"odinger equation (NSLE) on simplest graphs. Formulation of the problem and exact analytical solutions of NLSE are presented for star graphs consisting of three bonds. It is shown that the method can be
Externí odkaz:
http://arxiv.org/abs/1107.1220
Publikováno v:
"Complex Phenomena in Nanoscale Systems" pp 215-21, Springer, Dordrecht, 2009
Quantum dynamica of a massless Dirac particle in time-dependent 1D box and circular billiard with time-dependent radius is studied. An exact analytical wave functions and eigenvalues are obtained for the case of linear time-dependence of the boundary
Externí odkaz:
http://arxiv.org/abs/1106.5102
Autor:
Sobirov, Z. A., Abdinazarov, S.
In this work we study Cauchy problem for a high-order differential equation $\frac{\partial u(y,x)}{\partial y}+P(\frac{\partial}{\partial x})u(y,x)=\gamma\frac{\partial}{\partial x}(u^2(y,x))+F(y,x)$. We prove that the problem is well-posed both for
Externí odkaz:
http://arxiv.org/abs/1105.6149
Publikováno v:
Physical Review E 83, 041133 (2011)
We consider a quantum gas of non-interacting particles confined in the expanding cavity, and investigate the nature of the non-adiabatic force which is generated from the gas and acts on the cavity wall. Firstly, with use of the time-dependent canoni
Externí odkaz:
http://arxiv.org/abs/1105.4227
We elucidate the case in which the Ablowitz-Ladik (AL) type discrete nonlinear Schr\"Aodinger equa- tion (NLSE) on simple networks (e.g., star graphs and tree graphs) becomes completely integrable just as in the case of a simple 1-dimensional (1-d) d
Externí odkaz:
http://arxiv.org/abs/1105.4226
Publikováno v:
Phys. Rev. E 81, 066602 (2010)
We show soliton solutions of nonlinear Schroedinger equation on simple networks consisting of vertices and bonds, where the strength of cubic nonlinearity is different from bond to bond. We concentrate on reflectionless propagation of Zakharov-Shabat
Externí odkaz:
http://arxiv.org/abs/0912.1687
Autor:
Sobirov, Z. A., Eshimbetov, M. R.
Publikováno v:
Journal of Mathematical Sciences; Jan2024, Vol. 278 Issue 3, p530-545, 16p
