104 citations · 1.1k across the 62 of their papers we have counts for
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Whitham method for Benjamin-Ono-Burgers equation and dispersive shocks in internal waves in deep fluid
Y. Matsuno, V. S. Shchesnovich, A. M. Kamchatnov +1
The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of damped Benjamin-Ono equation. The s…
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…
Solitons in Bose-Einstein condensates trapped in a double-well potential
Valery S. Shchesnovich, Boris A. Malomed, Roberto A. Kraenkel
We investigate, analytically and numerically, families of bright solitons in a system of two linearly coupled nonlinear Schrodinger/Gross-Pitaevskii equations, describing two Bose-…
Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation
V. S. Shchesnovich, I. V. Barashenkov
We use the Riemann-Hilbert problem to study the interaction of the soliton with radiation in the parametrically driven, damped nonlinear Schrödinger equation. The analysis is reduc…