Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schrödinger equations
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918268675031040 |
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| author | Zeng, Liangwei Malomed, Boris A. Mihalache, Dumitru Li, Jingzhen Zhu, Xing |
| author_facet | Zeng, Liangwei Malomed, Boris A. Mihalache, Dumitru Li, Jingzhen Zhu, Xing |
| contents | 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 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00187 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schrödinger equations Zeng, Liangwei Malomed, Boris A. Mihalache, Dumitru Li, Jingzhen Zhu, Xing Pattern Formation and Solitons Optics 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 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. |
| title | Collisions and fusion of one- and two-dimensional solitons driven by potential troughs in the cubic-quintic nonlinear Schrödinger equations |
| topic | Pattern Formation and Solitons Optics |
| url | https://arxiv.org/abs/2601.00187 |