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The Ginzburg-Landau model of Bose-Einstein condensation of magnons
B. A. Malomed, O. Dzyapko, V. E. Demidov +1
We introduce a system of phenomenological equations for Bose-Einstein condensates of magnons in the one-dimensional setting. The nonlinearly coupled equations, written for amplitud…
Two-dimensional discrete solitons in dipolar Bose-Einstein condensates
Goran Gligorić, Aleksandra Maluckov, Milutin Stepić +2
We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and…
Vector solitons in nonlinear lattices
Yaroslav V. Kartashov, Boris A. Malomed, Victor A. Vysloukh +1
We consider two-component solitons in a medium with a periodic modulation of the nonlinear coefficient. The modulation enables the existence of complex multihump vector states. In…
Stabilization of multi-beam necklace solitons in circular arrays with spatially modulated nonlinearity
Yaroslav V. Kartashov, Boris A. Malomed, Victor A. Vysloukh +1
We address necklace solitons supported by circular waveguide arrays with out-of-phase modulation of nonlinearity and linear refractive index. Such two-dimensional necklace solitons…
Existence, Stability, and Dynamics of Bright Vortices in the Cubic-Quintic Nonlinear Schrödinger Equation
R. M. Caplan, R. Carretero-Gonzalez, P. G. Kevrekidis +1
We revisit the topic of the existence and azimuthal modulational stability of solitary vortices (alias vortex solitons) in the two-dimensional (2D) cubic-quintic nonlinear Schr{ö}d…
Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation
H. Yanay, L. Khaykovich, B. A. Malomed
We consider splitting and stabilization of second-order solitons (2-soliton breathers) in a model based on the nonlinear Schrödinger equation (NLSE), which includes a small quintic…