This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …

It is well known that periodic discrete defect-containing systems support both traveling
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …

We predict that photonic moiré patterns created by two mutually twisted periodic sublattices
in quadratic nonlinear media allow the formation of parametric solitons under conditions that …

We report solutions for stable compound solitons in a three-dimensional quasi-phase-
matched photonic crystal with the quadratic (χ (2)) nonlinearity. The photonic crystal is …

We predict that one-and two-dimensional self-bound quantum droplets, forming in Bose–
Einstein condensates in the presence of Lee–Huang–Yang (LHY) quantum corrections to …

We study experimentally and theoretically discrete solitons in crystalline structures
consisting of several tens of laser-cooled ions confined in a radio frequency trap. Resonantly …

We introduce a 2D network built of 𝒫𝒯-symmetric dimers with on-site cubic nonlinearity, the
gain and loss elements of the dimers being linked by parallel square-shaped lattices. The …

We study discrete solitons (kinks) accessible in the state-of-the-art trapped ion experiments,
considering zigzag crystals and quasi-three-dimensional configurations, both theoretically …

We study the existence, stability, and mobility of fundamental discrete solitons in two-and
three-dimensional nonlinear Schrödinger lattices with a combination of cubic self-focusing …

Давно известно, что периодические дискретные системы, содержащие дефекты,
допускают наличие как бегущих волн, так и колебательных мод, локализованных на …