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Localized solutions of Lugiato-Lefever equations with focused pump
Wesley B. Cardoso, Luca Salasnich, Boris A. Malomed
Lugiato-Lefever (LL) equations in one and two dimensions (1D and 2D) accurately describe the dynamics of optical fields in pumped lossy cavities with the intrinsic Kerr nonlinearit…
Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials
Hugo L. C. Couto, Ardiley T. Avelar, Wesley B. Cardoso
One-dimensional nonlinear Schrödinger equations are derived to describe the axial effective dynamics of cigar-shaped atomic repulsive Bose-Einstein condensates trapped with anharmo…
Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients
Wesley B. Cardoso, Hugo L. C. Couto, Ardiley T. Avelar +1
We study the presence of exact localized solutions in a quadratic-cubic nonlinear Schrödinger equation with inhomogeneous nonlinearities. Using a specific ansatz, we transform the…
Zero-dimensional limit of the two-dimensional Lugiato-Lefever equation
Wesley B. Cardoso, Luca Salasnich, Boris A. Malomed
We study effects of tight harmonic-oscillator confinement on the electromagnetic field in a laser cavity by solving the two-dimensional Lugiato-Lefever (2D LL) equation, taking int…