796 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of LisbonPT22 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- Universität InnsbruckAT16 papers
- Universitat Politècnica de ValènciaES14 papers
- Instituto de Investigación en Recursos CinegéticosES13 papers
- Universidad Complutense de MadridES13 papers
- Center for Astrophysics Harvard & SmithsonianUS12 papers
- Linköping UniversitySE11 papers
- Universidade de VigoES10 papers
- Universidad de GranadaES7 papers
- Universitat de ValènciaES7 papers
- Centro de Física Teórica e Computacional6 papers
31 papers · 1 filter
Coherent atomic soliton molecules for matter-wave switching
Chenyun Yin, Natalia G. Berloff, Víctor M. Pérez-García +3
We discuss the dynamics of interacting dark-bright two-dimensional vector solitons in multicomponent immiscible bulk Bose-Einstein condensates. We describe matter-wave molecules wi…
Bright Solitary Waves in Malignant Gliomas
Víctor M. Pérez-García, Gabriel F. Calvo, Juan Belmonte-Beitia +2
We put forward a nonlinear wave model describing the fundamental physio-pathologic features of an aggressive type of brain tumors: glioblastomas. Our model accounts for the invasio…
Existence of dark solitons in a class of stationary nonlinear Schrödinger equations with periodically modulated nonlinearity and periodic asymptotic
J. Belmonte-Beitia, J. Cuevas
In this paper, we give a proof of the existence of stationary dark soliton solutions or heteroclinic orbits of nonlinear equations of Schrödinger type with periodic inhomogeneous n…
Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Juan Belmonte-Beitia, Valeriy Brazhnyi, Victor M. Perez-Garcia
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general th…
Bifurcations in a convection problem with temperature-dependent viscosity
Francisco Pla, Henar Herrero, Olivier Lafitte
A convection problem with temperature-dependent viscosity in an infinite layer is presented. As described, this problem has important applications in mantle convection. The existen…
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…
Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
Vladislav Prytula, Vadym Vekslerchik, Victor M. Perez-Garcia
In this paper we study blow-up phenomena in general coupled nonlinear Schrodinger equations with different dispersion coefficients. We find sufficient conditions for blow-up and fo…
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…
Localization phenomena in Nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities: Theory and applications to Bose-Einstein condensates
Victor M. Perez-Garcia, Rosa Pardo
We study the properties of the ground state of Nonlinear Schrödinger Equations with spatially inhomogeneous interactions and show that it experiences a strong localization on the s…
Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
Juan Belmonte Beitia, Vladimir V. Konotop, Victor M. Perez Garcia +1
Using similarity transformations we construct explicit solutions of the nonlinear Schrodinger equation with linear and nonlinear periodic potentials. We present explicit forms of s…
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…
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…
Symmetry-assisted vorticity control in Bose-Einstein condensates
Víctor M. Pérez-García, Miguel A. García-March, Albert Ferrando
Using group-theoretical methods and numerical simulations we show how to act on the topological charge of individual vortices in Bose-Einstein condensates by using control potentia…
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…
Dissipative solitons which cannot be trapped
Rosa Pardo, Victor M. Perez-Garcia
In this paper we study the behavior of dissipative solitons in systems with high order nonlinear dissipation and show how they cannot survive under the effect of trapping potential…
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…
Matter-wave solitons supported by dissipation
Adrian Alexandrescu, Victor M. Perez-Garcia
We show how novel types of long-lived self-localized matter waves can be constructed with Bose-Einstein condensates. The ingredients leading to such structures are a spatial phase…
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…
Turning light into a liquid via atomic coherence
Humberto Michinel, Maria J. Paz Alonso, Victor M. Perez-Garcia
We study a four level atomic system with electromagnetically induced transparency with giant and susceptibilities of opposite signs. This system would allow to…
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…