312 citations · 1k across the 22 of their papers we have counts for
9 papers · 1 filter
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…
Bifurcation of gap solitons in periodic potentials with a sign-varying nonlinearity coefficient
Juan Belmonte-Beitia, Dmitry Pelinovsky
We address the Gross--Pitaevskii (GP) equation with a periodic linear potential and a periodic sign-varying nonlinearity coefficient. Contrary to the claims in the previous works o…
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…
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…