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nlin.SI2000★ 9 cited
Q-deformed solitons and quantum solitons of the Maxwell-Bloch lattice
Andrei Rybin, Jussi Timonen, Gennadii Varzugin +1
We report for the first time exact solutions of a completely integrable nonlinear lattice system for which the dynamical variables satisfy a q-deformed Lie algebra - the Lie-Poisso…
cond-mat2000★ 32 cited
Similarity Solutions and Collapse in the Attractive Gross-Pitaevskii Equation
Andrei Rybin, Gennadii Varzugin, Markus Lindberg +2
We analyse a generalised Gross-Pitaevskii equation involving a paraboloidal trap potential in space dimensions and generalised to a nonlinearity of order . For {\em attra…