46 citations · 92 across the 6 of their papers we have counts for
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Rayleigh functional for nonlinear systems
Valery S. Shchesnovich, Solange B. Cavalcanti
We introduce Rayleigh functional for nonlinear systems. It is defined using the energy functional and the normalization properties of the variables of variation. The key property o…
Stationary states in a pair of tunnel-coupled two-dimensional condensates with the scattering lengths of opposite sign
Valery S. Shchesnovich, Solange B. Cavalcanti
We study, analytically and numerically, the stationary states in the system of two linearly coupled nonlinear Schr{ö}dinger equations in two spatial dimensions, with the nonlinear…
Dynamics of Bose-Einstein condensates in cigar-shaped traps
A. M. Kamchatnov, V. S. Shchesnovich
Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space…