14 citations · 23 across the 7 of their papers we have counts for
7 papers
Saturable nonlinear Schrödinger equation with space- and time-dependent variable coefficients
Maurilho R. da Rocha, Mateus C. P. dos Santos, Wesley B. Cardoso
In this paper we study the dynamics and stability of localized solutions in a saturable nonlinear Schrödinger equation with space- and time-dependent variable coefficients. Using a…
Inducing localized solutions via interaction in a self-defocusing system with localized pumping
Wesley B. Cardoso, Mateus C. P. dos Santos
We investigate the emergence of induced localized coupled modes in passive cavities with both loss and gain. Our model is based on linearly coupled Lugiato-Lefever equations, where…
Spontaneous symmetry breaking induced by nonlinear interaction in a coupler supported by fractional diffraction
Mateus C. P. dos Santos, Wesley B. Cardoso
In this paper we introduce a one-dimensional model of coupled fractional nonlinear Schrödinger equations with a double-well potential applied to one component. This study examines…
Spontaneous symmetry breaking and vortices in a tri-core nonlinear fractional waveguide
Mateus C. P. dos Santos, Wesley B. Cardoso, Dmitry V. Strunin +1
We introduce a waveguiding system composed of three linearly-coupled fractional waveguides, with a triangular (prismatic) transverse structure. It may be realized as a tri-core non…
Spontaneous symmetry breaking induced by interaction in linearly coupled binary Bose Einstein condensates
Mateus C. P. dos Santos, Wesley B. Cardoso
We analyze the spontaneous symmetry breaking (SSB) induced by one specific component of a linearly coupled binary Bose-Einstein condensate (BEC). The model is based on linearly cou…
Double-layer Bose-Einstein condensates: A quantum phase transition in the transverse direction, and reduction to two dimensions
Mateus C. P. dos Santos, Boris A. Malomed, Wesley B. Cardoso
We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction (), to a 2D…
Quasi-one-dimensional approximation for Bose-Einstein condensates transversely trapped by a funnel potential
Mateus C. P. dos Santos, Boris A. Malomed, Wesley B. Cardoso
Starting from the standard three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a variational approximation, we derive an effective one-dimensional nonpolynomial Schröd…