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19932026
most citedSolitons in nonlinear lattices

1k citations · 23.8k across the 731 of their papers we have counts for

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nlin.PS2026

Stable high-order solitons in spiral potentials

Liangwei Dong, Jingyi Deng, Changming Huang +1

We present a comprehensive study of optical solitons supported by spiral potentials in media with the cubic-quintic (CQ) nonlinearity. A variety of families of stationary states, i…

nlin.PS2026

Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schrödinger equations

Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache +2

We study the formation and collision of one- and two-dimensional (1D and 2D) Gaussian-shaped and flat-top (FT) solitons in the framework of the nonlinear Schrödinger equation with…

nlin.PS2025

Quasi-confined modes produced by the Lugiato-Lefever model with a localized pump and the pseudo-Raman term

Evgeny M. Gromov, Boris A. Malomed

We introduce an extended nonlinear Lugiato-Lefever equation (LLE) with the pseudo-stimulated-Raman-scattering (pseudo-SRS) cubic term, linear damping/gain, and spatial inhomogeneou…

nlin.PS2025

Multi-pole solitons and breathers with spatially periodic modulation induced by the helicoidal spin-orbit coupling

Cui-Cui Ding, Qin Zhou, B. A. Malomed

We report analytical solutions for diverse multi-pole (MP) soliton and breather states in spatially inhomogeneous binary Bose-Einstein condensates (BECs) with the helicoidally shap…

nlin.PS2025

Multidimensional Soliton Systems: an Update

Boris A. Malomed

A briefly formulated update of the recently published review [1] on the topic of multidimensional solitons (chiefly, in nonlinear optics and atomic Bose-Einstein condensates (BECs)…

nlin.PS2025

Stability of the Quantum Coherent Superradiant States in Relation to Exciton-Phonon Interactions and the Fundamental Soliton in Hybrid Perovskites

A. A. Gladkij, N. A. Veretenov, N. N. Rosanov +3

The use of macroscopic coherent quantum states at room temperature is crucial in modern quantum technologies. In light of recent experiments demonstrating high-temperature superflu…