6 citations · 8 across the 4 of their papers we have counts for
24 papers · 1 filter
Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
Vladyslav Prytula, Vadym Vekslerchik, Victor M. Perez-Garcia
Using theoretical arguments, we prove the numerically well-known fact that the eigenvalues of all localized stationary solutions of the cubic-quintic 2D+1 nonlinear Schrodinger equ…
Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Juan Belmonte-Beitia, Victor M. Perez-Garcia, Vadym Vekslerchik +1
Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schrödinger equations with potentials and nonlinearities depending on time and on the spati…
Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
Dmitry A. Zezyulin, Georgy L. Alfimov, Vladimir V. Konotop +1
We analyze the stability of non-ground nonlinear states of a Bose-Einstein condensate in the mean field limit in effectively 1D (``cigar-shape'') traps for various types of confini…
Supersolitons: Solitonic excitations in atomic soliton chains
David Novoa, Boris A. Malomed, Humberto Michinel +1
We show that, by appropriately tuning physically relevant interactions in two-component nonlinear Schrodinger equations, it is possible to achieve a regime with particle-like solit…
Collapse in boson-fermion mixtures with all-repulsive interactions
Vladyslav I. Prytula, Vladimir V. Konotop, Victor M. Perez-Garcia +1
We describe the collapse of the bosonic component in a boson-fermion mixture due to the pressure exerted on them by a large fermionic component, leading to collapse in a system wit…
Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik +1
Using Lie group theory and canonical transformations, we construct explicit solutions of nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities. We present the…