Graduate School in Nonlinear Science

Sponsored by The Danish Research Agency

 
MIDIT                              OFD                          CATS
Modelling, Nonlinear Dynamics      Optics and Fluid Dynamics    Chaos and Turbulence Studies
and Irreversible Thermodynamics    Risø National Laboratory     Niels Bohr Institute and
Technical University of Denmark    Building 128                 Department of Chemistry
Building 321                       P.O. Box 49                  University of Copenhagen
DK-2800 Lyngby                     DK-4000 Roskilde             DK-2100 Copenhagen Ø
Denmark                            Denmark                      Denmark

THE HAMILTON DYNAMICS OF THE SOLITON OF THE DISCRETE NLS EQUATION

by Professor Arnold M. Kosevich
B. Verkin Institute for Low Temperature Physics and Engineering
of National Academy of Sciences of Ukraine
310164 Kharkov
Ukraine
email: kosevich@ilt.kharkov.ua

MIDIT-seminar 514

Tuesday, November 5, 2002, 14.00 h
at IMM, Bldg. 305, Room 053, DTU

Abstract: Hamiltonian equations are formulated in terms of collective variables describing the dynamics of the soliton of an integrable NLS equation on a 1D lattice. Earlier, similar equations of motion were sugested for the soliton of the NLS equation in partial derivatives. The operator of soliton momentum in a discrete chain is defined; this operator is unambigously related to the velocity of the center of gravity of the soliton. The resulting Hamiltonian equations are similar to those for the continuous NLS equation, but the role of the field momentum is played by the summed quasi-momentum of virtual elemrntary system excitations related to the soliton.