87 citations · 253 across the 11 of their papers we have counts for
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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…
Time dependent neutrino billiards
D. U. Matrasulov, Z. A. Sobirov, Sh. Ataev +1
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 eigenvalu…
Cauchy Problem for for some high order generalization of Korteweg - de Vries equation
Z. A. Sobirov, S. Abdinazarov
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)=γ\frac{\partial}{\partial x}(u^…
Ideal quantum gas in expanding cavity: nature of non-adiabatic force
K. Nakamura, S. K. Avazbaev, Z. A. Sobirov +2
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 a…
Transport in simple networks described by integrable discrete nonlinear SchrÄodinger equation
K. Nakamura, Z. A. Sobirov, D. U. Matrasulov +1
We elucidate the case in which the Ablowitz-Ladik (AL) type discrete nonlinear SchrÄodinger equa- tion (NLSE) on simple networks (e.g., star graphs and tree graphs) becomes complet…