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arXiv · 2311.01694

Multipole solitons in competing nonlinear media with an annular potential

Liangwei Dong·Mingjing Fan·Changming Huang·Boris A. Malomed
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Abstract

We address the existence, stability, and propagation dynamics of multipole-mode solitons in cubic-quintic nonlinear media with an imprinted annular (ring-shaped) potential. The interplay of the competing nonlinearity with the potential enables the formation of a variety of solitons with complex structures, from dipole, quadrupole, and octupole solitons to necklace complexes. The system maintains two branches of soliton families with opposite slopes of the power-vs.-propagation-constant curves. While the solitons' stability domain slowly shrinks with the increase of even number $n$ of lobes in the multipole patterns, it remains conspicuous even for $n>16$. The application of a phase torque gives rise to stable rotation of the soliton complexes, as demonstrated by means of analytical and numerical methods.

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Liangwei Dong, Mingjing Fan, Changming Huang, Boris A. Malomed. 2023-11-03. Multipole solitons in competing nonlinear media with an annular potential. https://arxiv.org/abs/2311.01694

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