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Stable fundamental two-dimensional solitons in media with competing nonlocal interactions

Author

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  • Jung, Pawel S.
  • Pyrialakos, Georgios G.
  • Pilka, Jacek
  • Kwasny, Michal
  • Laudyn, Ula
  • Trippenbach, Marek
  • Christodoulides, Demetrios N.
  • Krolikowski, Wieslaw

Abstract

Soliton attract a great deal of attention across various disciplines, from optics to fluid mechanics, cosmology, as well as particle and condensed matter physics, due to their unique characteristics and applications. Although various soliton solutions are known, it is rare to find stable fundamental bright solitons with complex amplitude structures in two transverse dimensions. Here we show that the interplay between nonlocal nonlinear light–matter attraction and repulsion can lead to novel types of solutions in two spatial dimensions. We find unusual new fundamental soliton solutions exhibiting complex intensity but constant phase profiles with rectangular and cylindrical symmetries. We also employ an analytically tractable novel model for a complex linear potential whose two-peak ground states mimic two-peak solitons.

Suggested Citation

  • Jung, Pawel S. & Pyrialakos, Georgios G. & Pilka, Jacek & Kwasny, Michal & Laudyn, Ula & Trippenbach, Marek & Christodoulides, Demetrios N. & Krolikowski, Wieslaw, 2023. "Stable fundamental two-dimensional solitons in media with competing nonlocal interactions," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923002825
    DOI: 10.1016/j.chaos.2023.113381
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    1. Daryl T. Spencer & Tara Drake & Travis C. Briles & Jordan Stone & Laura C. Sinclair & Connor Fredrick & Qing Li & Daron Westly & B. Robert Ilic & Aaron Bluestone & Nicolas Volet & Tin Komljenovic & Li, 2018. "An optical-frequency synthesizer using integrated photonics," Nature, Nature, vol. 557(7703), pages 81-85, May.
    2. Kevin E. Strecker & Guthrie B. Partridge & Andrew G. Truscott & Randall G. Hulet, 2002. "Formation and propagation of matter-wave soliton trains," Nature, Nature, vol. 417(6885), pages 150-153, May.
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