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Multistable Solitons in the Cubic-Quintic Discrete Nonlinear Schrödinger Equation
R. Carretero-Gonzalez, J. D. Talley, C. Chong +1
We analyze the existence and stability of localized solutions in the one-dimensional discrete nonlinear Schrödinger (DNLS) equation with a combination of competing self-focusing cu…
Multipole-mode solitons in Bessel optical lattices
Yaroslav V. Kartashov, R. Carretero-Gonzalez, Boris A. Malomed +2
We study basic properties of quiescent and rotating multipole-mode solitons supported by axially symmetric Bessel lattices in a medium with defocusing cubic nonlinearity. The solit…
Alternate solitons: Nonlinearly-managed one- and two-dimensional solitons in optical lattices
Arthur Gubeskys, Boris A. Malomed, Ilya M. Merhasin
We consider a model of Bose-Einstein condensates which combines a stationary optical lattice (OL) and periodic change of the sign of the scattering length (SL) due to the Feshbach-…
Two-component gap solitons in two- and one-dimensional Bose-Einstein condensates
A. Gubeskys, B. A. Malomed, I. M. Merhasin
We introduce 2D and 1D models of a binary Bose-Einstein condensate in a periodic potential, with repulsive interactions. We chiefly consider the most fundamental case of the inter-…
Multidimensional semi-gap solitons in a periodic potential
Bakhtiyor B. Baizakov, Boris A. Malomed, Mario Salerno
The existence, stability and other dynamical properties of a new type of multi-dimensional (2D or 3D) solitons supported by a transverse low-dimensional (1D or 2D, respectively) pe…
Moving embedded lattice solitons
B. A. Malomed, J. Fujioka, A. Espinosa-Ceron +2
It was recently proved that isolated unstable "embedded lattice solitons" (ELS) may exist in discrete systems. The discovery of these ELS gives rise to relevant questions such as t…