312 citations · 355 across the 4 of their papers we have counts for
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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…
Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Juan Belmonte-Beitia, Victor M. Perez-Garcia, Vadym Vekslerchik +1
Using Lie group theory and canonical transformations we construct explicit solutions of nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities. We present the…
On existence of dark solitons in cubic-quintic nonlinear Schrödinger equation with a periodic potential
Pedro J. Torres, Vladimir V. Konotop
A proof of existence of stationary dark soliton solutions of the cubic-quintic nonlinear Schrödinger equation with a periodic potential is given. It is based on the interpretation…
Similarity transformations for Nonlinear Schrodinger Equations with time varying coefficients: Exact results
Victor M. Perez-Garcia, Pedro J. Torres, Vladimir V. Konotop
In this paper we use a similarity transformation connecting some families of Nonlinear Schrodinger equations with time-varying coefficients with the autonomous cubic nonlinear Schr…
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…
Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: Matter-wave breathers
Gaspar D. Montesinos, Victor M. Perez-Garcia, Pedro Torres
We demonstrate that stabilization of solitons of the multidimensional Schrodinger equation with a cubic nonlinearity may be achieved by a suitable periodic control of the nonlinear…