activity
19972003
most citedSimilarity Solutions and Collapse in the Attractive Gross-Pitaevskii Equation

32 citations · 126 across the 7 of their papers we have counts for

collaborators

7 papers

cond-mat.stat-mech2003★ 22 cited

Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases

N. M. Bogoliubov, R. K. Bullough, C. Malyshev +1

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing d…

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…

cond-mat.stat-mech1999★ 1 cited

Finite-temperature correlations in the trapped Bose gas

N. M. Bogoliubov, R. K. Bullough, V. S. Kapitonov +2

Previous functional integral methods for translationally invariant systems have been extended to the case of a confining trap potential. Essentially all finite-temperature properti…

quant-ph1999★ 3 cited

Stroboscopic theory of atomic statistics in the micromaser

R. R. Puri, S. Arun Kumar, R. K. Bullough

We study the statistics of the atoms emerging from the cavity of a micromaser in a dynamical, discrete-time `stroboscopic' description which takes into account the measurements mad…

solv-int1997★ 29 cited

Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP equations

W. X. Ma, R. K. Bullough, P. J. Caudrey

By starting from known graded Lie algebras, including Virasoro algebras, new kinds of time-dependent evolution equations are found possessing graded symmetry algebras. The modified…