272 citations · 647 across the 53 of their papers we have counts for
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Helical and Straight Solitons Induced by Vortex Beams with Off-Axis Pivots in Cubic-Quintic Nonlinear Media
Jing Chen, Rongcao Yang, Boris A. Malomed
We address the existence and dynamics of solitons propagating along helical (spiral-rotating) and straight trajectories in the bulk waveguide with the cubic-quintic nonlinearity an…
Quiescent and traveling solitons in the fractional parametrically driven damped nonlinear Schrödinger equation
Dongdong Wang, Rujiang Li, David Laroze +2
We systematically investigate the existence, stability, and dynamics of optical solitons in the framework of the one-dimensional nonlinear Schrödinger equation with the Riesz-fract…
Stabilization of two-dimensional optical continuous-wave states by a potential trough
Thawatchai Mayteevarunyoo, Boris A. Malomed
We consider quasi-one-dimensional (Q1D) continuous waves (CWs) in the two-dimensional (2D) optical system with the cubic-quintic nonlinearity and a Q1D potential trough. In the cas…
Stable multipole solitons in defocusing saturable media with an annular trapping potential
Xiaoli Lang, Boris A. Malomed, Liangwei Dong
We systematically investigate the existence, stability, and propagation dynamics of multipole-mode (necklace-shaped) solitons in the two-dimensional model of an optical medium with…
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 "…