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cond-mat.stat-mech2004
Landau dynamics of a grey soliton in a trapped condensate
Vladimir V. Konotop, Lev Pitaevskii
It is shown that grey soliton dynamics in an one-dimensional trap can be treated as Landau dynamics of a quasi-particle. A soliton of arbitrary amplitude moves in the trapping pote…
cond-mat.stat-mech2001
Resonant mode interactions in nonlinear lattices
V. v. Konotop
Resonant mode interactions in weakly nonlinear multi-dimensional lattices and related effects are described. We concentrate on formal description of the phenomenon and consider as…