The seminars are held at 11:00 in the room 36 of the Administrative building of the Physical-Technical Institute, SA "Physics - Sun" of the Uzbek Academy of Sciences. All researches and students are welcome.
9 March 2010: "Brownian ratchet and motors: Directional motion in random environment" (a literature review), (Dr. E. N. Tsoy, Physical-Technical Institute of the Uzbek Academy of Sciences).
Incoming Seminars
TBA.
Past Seminars
3 March 2010: "Study of photoelastic properties of bulk and low-dimensional structures in the region of exciton and interband resonances", (Dr. R. A. Ayukhanov, Physical-Technical Institute of the Uzbek Academy of Sciences).
6 January 2010: "Variational analysis of flat-top solitons", (Dr. B. B. Baizakov, Physical-Technical Institute of the Uzbek Academy of Sciences).
23 December 2009: "Slow (subluminal) and fast (superluminal) light in condensed media" (a literature summary), (Dr. E. N. Tsoy, Physical-Technical Institute of the Uzbek Academy of Sciences).
14 October 2009: "Bright and dark solitons in nonlinear non-local media", (Dr. E. N. Tsoy, Physical-Technical Institute of the Uzbek Academy of Sciences).
15 September 2009 (Tuesday): "Soliton solutions of nonlinear Schrödinger equation on simple graphs", ( Z.A. Sobirov, Heat Physics Department, Uzbek Academy of Sciences).
Abstract
We show soliton solutions of nonlinear Schrödinger equation on simple networks such as star graphs, tree graphs and loop graphs. We concentrate on reflectionless propagation of Zakharov- Shabat’s solitons through a branched chain, namely, a primary star graph consisting of three semiinfinite bonds jointed at a vertex. Both the conditions for velocity, initial center of mass and amplitude of solitons and the sum rule for nonlinearities at individual bonds to satisfy the conservation of the norm and global current in the graphs are elucidated. Under this sum rule, all other conservation rules for solitons in a simple 1-dimensional chain have proved to hold for solitons propagating through graphs. The argument is extended to multi-soliton solutions which are lying on each of the bonds, and to other graphs, i.e., tree graphs, loop graphs and their combinations. Numerical evidence is also given on the reflectionless propagation of a soliton through a branched chain.
This work is based on collaborations with D.U. Matrasulov (HPD), K.K.Sabirov (HPD), S.Sawada (Sanda, Japan), K. Nakamura (HPD).
19 August 2009: "Realization of Schrödinger cat states with matter-wave solitons", (Prof. F. Kh. Abdullaev, Physical-Technical Institute of the Uzbek Academy of Sciences).
15 July 2009: "Nonlinear transmission through finite Bragg gratings", (Dr. E. N.Tsoy, Physical-Technical Institute of the Uzbek Academy of Sciences).
1 July 2009: "Interaction of a repulsive BEC with a defect" (a literature summary), (Kh. N. Ismatullaev, Physical-Technical Institute of the Uzbek Academy of Sciences).
27 May 2009: "Lie group method for finding exact solutions of the nonlinear evolutional equations",
(Dr. R. M. Galimzyanov, Physical-Technical Institute of the Uzbek Academy of Sciences).
20 May 2009: "Physics of DNA assembly" (a conference summary), (Dr. E. N.Tsoy, Physical-Technical Institute of the Uzbek Academy of Sciences).
13 May 2009: "Spatial dispersion and negative refraction of light", (Dr. S. Sh.Tadjimuratov, Physical-Technical Institute of the Uzbek Academy of Sciences).
6 May 2009: "Soliton dynamics at the interface between uniform medium and nonlinear lattice", (Dr. R. M. Galimzyanov, Physical-Technical Institute of the Uzbek Academy of Sciences).
29 Apr 2009: "Bright solitons in one-dimensional quantum gases", (Dr. B. B. Baizakov, Physical-Technical Institute of the Uzbek Academy of Sciences).