Solitons in a one-dimensional rhombic waveguide array
Pattern Formation and Solitons
2025-06-10 v1
Abstract
Two types of soliton solutions are analytically considered in a rhombic onedimensional lattice: transverse (discrete) solitons and longitudinal solitons. Based on the multi-scale method, longitudinal solitons are obtained as envelopes of wave packets outside the forbidden gap, on the gap and under the gap. A discrete soliton was obtained based on a wave packet from the center of the Brillouin zone. The numerical calculations are in good agreement with the analytical predictions.
Keywords
Cite
@article{arxiv.2506.07901,
title = {Solitons in a one-dimensional rhombic waveguide array},
author = {Shaykin Dmitriy},
journal= {arXiv preprint arXiv:2506.07901},
year = {2025}
}