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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…
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…
Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
Juan Belmonte-Beitia, Victor M. Perez-Garcia, Vadym Vekslerchik
In this paper we study a system of coupled nonlinear Schrodinger equations modelling a quantum degenerate mixture of bosons and fermions. We analyze the stability of plane waves, g…