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

2026/01/01 by Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache +2 · 1 voice
Physics and Astronomy · #nlin.PS #physics.optics

paper · pdf · doi:10.1063/5.0309512

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 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.

Citations

• Traveling Bubbles and Vortex Pairs within Symmetric 2D Quantum Droplets
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• Analogue spacetime based on 2-component Bose-Einstein condensates
• Formation and Propagation of Matter Wave Soliton Trains
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Discussions

• Zeng, Malomed, Mihalache, Li, Zhu: 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 [bsky, 0 points, 0 comments]

Related

• Elastic and Inelastic Scattering of Flat-Top Solitons
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• Collisions of matter-wave solitons
• Quasi-soliton and other behaviour of the nonlinear cubic-quintic Schrödinger equation