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arXiv · 2601.00187

Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schr\"{o}dinger equations

Liangwei Zeng·Boris A. Malomed·Dumitru Mihalache·Jingzhen Li·Xing Zhu
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Abstract

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 Schr\"{o}dinger equation with the cubic-quintic nonlinearity and two intersecting potential troughs. We find that Gaussian-Gaussian and Gaussian-FT collisions between the solitons, steered by the troughs, are quasi-elastic, while the collisions between FT solitons may be either quasi-elastic or inelastic, in the form of merger into a single FT soliton, thus spontaneously breaking the symmetry between the steering troughs. The Gaussian-FT collisions, being overall quasi-elastic, generate weak radiation fields.

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Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache, Jingzhen Li, Xing Zhu. 2026-01-01. Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schr\"{o}dinger equations. https://arxiv.org/abs/2601.00187

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