46 citations · 57 across the 3 of their papers we have counts for
7 papers
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…
Higher-order solitons in the N-wave system
Valery S. Shchesnovich, Jianke Yang
The soliton dressing matrices for the higher-order zeros of the Riemann-Hilbert problem for the -wave system are considered. For the elementary higher-order zero, i.e. whose alg…
Perturbation theory for gap solitons
V. S. Shchesnovich
The paper was withdrawn by the author. Further research is needed.
Second-order perturbation theory for the parametrically driven NLS solitons
V. S. Shchesnovich
Withdrawn by the author. Further research is needed.