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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…
The Lugiato-Lefever equation driven by a double tightly focused pump
Mateus C. P. dos Santos, Shatrughna Kumar, Wesley B. Cardoso +1
We introduce a model of an optical cavity based on the one-dimensional Lugiato-Lefever (LL) equation, which includes the pump represented by a symmetric pair of tightly localized "…
Solitons supported by a self-defocusing trap in a fractional-diffraction waveguide
Mateus C. P. dos Santos, Boris A. Malomed, Wesley B. Cardoso
We introduce a model which gives rise to self-trapping of fundamental and higher-order localized states in a one-dimensional nonlinear Schrödinger equation with fractional diffract…