133 citations · 275 across the 8 of their papers we have counts for
8 papers
Stabilization of high-order solutions of the cubic Nonlinear Schrodinger Equation
Adrian Alexandrescu, Gaspar D. Montesinos, Victor M. Perez-Garcia
In this paper we consider the stabilization of non-fundamental unstable stationary solutions of the cubic nonlinear Schrodinger equation. Specifically we study the stabilization of…
The method of moments for Nonlinear Schrodinger Equations: Theory and Applications
Victor M. Perez-Garcia, P. Torres, Gaspar D. Montesinos
The method of moments in the context of Nonlinear Schrodinger Equations relies on defining a set of integral quantities, which characterize the solution of this partial differentia…
n-body dynamics of stabilized vector solitons
Gaspar D. Montesinos, Maria I. Rodas-Verde, Victor M. Perez-Garcia +1
In this work we study the interactions between stabilized Townes solitons. By means of effective Lagrangian methods, we have found that the interactions between these solitons are…
Stable propagation of pulsed beams in Kerr focusing media with modulated dispersion
Maria I. Rodas-Verde, Gaspar D. Montesinos, Humberto Michinel +1
We propose the modulation of dispersion to prevent collapse of planar pulsed beams which propagate in Kerr-type self-focusing optical media. As a result, we find a new type of two-…
Stabilized vortex solitons in layered Kerr media
Gaspar D. Montesinos, Victor M. Perez-Garcia, Humberto Michinel +1
In this letter we demonstrate the possibility of stabilizing beams with angular momentum propagating in Kerr media. Large propagation distances without filamentation can be achieve…
Numerical studies of stabilized Townes solitons
Gaspar D. Montesinos, Victor M. Perez-Garcia
We study numerically stabilized solutions of the two-dimensional Schrodinger equation with a cubic nonlinearity. We discuss in detail the numerical scheme used and explain why choo…