3 papers
cond-mat.soft2001
Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates
Vadym Vekslerchik, Victor M. Perez-Garcia
We find the explicit solution of a two--mode model used to explain vortex dynamics in multicomponent Bose-Einstein condensates. We prove that all the solutions are constants or per…
cond-mat.soft2001
Construction of exact solutions by spatial traslations in inhomogeneous Nonlinear Schrodinger equations. Applications to Bose-Einstein condensation
Juan J. Garcia-Ripoll, Victor M. Perez-Garcia, Vadym Vekslerchik
In this paper we study a general nonlinear Schrödinger equation with a time dependent harmonic potential. Despite the lack of traslational invariance we find a symmetry trasformati…
solv-int1998
'Universality' of the Ablowitz-Ladik hierarchy
V. E. Vekslerchik
The aim of this paper is to summarize some recently obtained relations between the Ablowitz-Ladik hierarchy (ALH) and other integrable equations. It has been shown that solutions o…