39 citations · 69 across the 6 of their papers we have counts for
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Stability of bound states for regularized nonlinear Schrödinger equations
John Albert, Jack Arbunich
We consider the stability of bound-state solutions of a family of regularized nonlinear Schrödinger equations which were introduced by Dumas, Lannes and Szeftel as models for the p…
Stability and instability properties of rotating Bose-Einstein condensates
Jack Arbunich, Irina Nenciu, Christof Sparber
We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solutio…
On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
J. Arbunich, C. Klein, C. Sparber
We present analytical results and numerical simulations for a class of nonlinear dispersive equations in two spatial dimensions. These equations are of (derivative) nonlinear Schrö…
Regularizing nonlinear Schroedinger equations through partial off-axis variations
Paolo Antonelli, Jack Arbunich, Christof Sparber
We study a class of focusing nonlinear Schroedinger-type equations derived recently by Dumas, Lannes and Szeftel within the mathematical description of high intensity laser beams […