Solitons in a one-dimensional rhombic waveguide array

Shaykin Dmitriy

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arXiv · 2506.07901

Solitons in a one-dimensional rhombic waveguide array

Shaykin Dmitriy

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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.

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Shaykin Dmitriy. 2025-06-09. Solitons in a one-dimensional rhombic waveguide array. https://arxiv.org/abs/2506.07901

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