Skip to main content
Erschienen in: Optical and Quantum Electronics 5/2024

01.05.2024

Soliton solutions for NLS model via the separation of variables method

verfasst von: S.-f. Wang

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The NLS (nonlinear Schrödinger) model in strongly nonlocal nonlinear media (SNNM) is proposed. The analytical solutions of the soliton cluster for the model are derived by means of the separation of variables and rotational equation method. Then the influence of initial parameters on the dynamics is discussed. The results presents by adjusting the initial parameters, the intensity, motion direction, center and angular of the cluster are manipulated to form a soliton cluster rotating from the original spatial soliton. The results of this paper have certain application value in beam manipulation and all-optical interconnection.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Al-Awfi, S., Bougouffa, S., Babiker, M.: Optical manipulation at planar dielectric surfaces using evanescent Hermite–Gaussian light. Opt. Commun. 283, 1022–1025 (2010)CrossRefADS Al-Awfi, S., Bougouffa, S., Babiker, M.: Optical manipulation at planar dielectric surfaces using evanescent Hermite–Gaussian light. Opt. Commun. 283, 1022–1025 (2010)CrossRefADS
Zurück zum Zitat Buccoliero, D., Desyatnikov, A.S., et al.: Laguerre and Hermite soliton clusters in nonlocal nonlinear media. Phys. Rev. Lett. 98(5), 053901 (2007)CrossRefADS Buccoliero, D., Desyatnikov, A.S., et al.: Laguerre and Hermite soliton clusters in nonlocal nonlinear media. Phys. Rev. Lett. 98(5), 053901 (2007)CrossRefADS
Zurück zum Zitat Chen, Y.G., Liang, G.L.: Rotating vortex clusters nested in Gaussian envelope in nonlocal nonlinear media. Opt. Commun. 449, 69–72 (2019)CrossRefADS Chen, Y.G., Liang, G.L.: Rotating vortex clusters nested in Gaussian envelope in nonlocal nonlinear media. Opt. Commun. 449, 69–72 (2019)CrossRefADS
Zurück zum Zitat Chen, H.Y., Zhu, H.P., et al.: Self-similar azimuthons in strongly nonlocal nonlinear media with PT-symmetry. Nonlinear Dyn. 84(4), 2017–2023 (2016)MathSciNetCrossRef Chen, H.Y., Zhu, H.P., et al.: Self-similar azimuthons in strongly nonlocal nonlinear media with PT-symmetry. Nonlinear Dyn. 84(4), 2017–2023 (2016)MathSciNetCrossRef
Zurück zum Zitat Chen, L.Y., Gao, C., et al.: Stable solitons and their controllability in PT symmetrical polariton condensates. Acta Phys. Sin. 71(18), 20220475(1–18) (2022)CrossRef Chen, L.Y., Gao, C., et al.: Stable solitons and their controllability in PT symmetrical polariton condensates. Acta Phys. Sin. 71(18), 20220475(1–18) (2022)CrossRef
Zurück zum Zitat Kaur, H., Bhatia, S., Goyal, A., et al.: Stationary Hermite–Gaussian solitons and their control for nonlinear Schrödinger equation with complex potential. Phys. Lett. A 419, 127738(1–6) (2021)CrossRef Kaur, H., Bhatia, S., Goyal, A., et al.: Stationary Hermite–Gaussian solitons and their control for nonlinear Schrödinger equation with complex potential. Phys. Lett. A 419, 127738(1–6) (2021)CrossRef
Zurück zum Zitat Ma, Y.J., Li, Z.J., Xie, X.P., et al.: Adaptive consensus of uncertain switched nonlinear multi-agent systems under sensor deception attacks. Chaos Solitons Fractals 175(1), 113936(1–5) (2023)MathSciNet Ma, Y.J., Li, Z.J., Xie, X.P., et al.: Adaptive consensus of uncertain switched nonlinear multi-agent systems under sensor deception attacks. Chaos Solitons Fractals 175(1), 113936(1–5) (2023)MathSciNet
Zurück zum Zitat Pathania, S., Goyal, A., Raju, T.S., et al.: Chirped nonlinear resonant states in femtosecond fiber optics. Optik 227, 166094(1–6) (2021)CrossRefADS Pathania, S., Goyal, A., Raju, T.S., et al.: Chirped nonlinear resonant states in femtosecond fiber optics. Optik 227, 166094(1–6) (2021)CrossRefADS
Zurück zum Zitat Péronne, E., Chuecos, N., et al.: Acoustic solitons: a robust tool to investigate the generation and detection of ultrafast acoustic waves. Phys. Rev. B 95(6), 064306(1–7) (2017)CrossRefADS Péronne, E., Chuecos, N., et al.: Acoustic solitons: a robust tool to investigate the generation and detection of ultrafast acoustic waves. Phys. Rev. B 95(6), 064306(1–7) (2017)CrossRefADS
Zurück zum Zitat Song, L.M., Yang, Z.J., Li, X.L., et al.: Controllable Gaussian-shaped soliton clusters in strongly nonlocal media. Opt. Express 26(15), 19182–19198 (2018)CrossRefADS Song, L.M., Yang, Z.J., Li, X.L., et al.: Controllable Gaussian-shaped soliton clusters in strongly nonlocal media. Opt. Express 26(15), 19182–19198 (2018)CrossRefADS
Zurück zum Zitat Sun, Y., Wu, Q., et al.: Two-dimensional Bessel soliton clusters in strongly nonlocal media. Optoelectron. Adv. Mater. Rapid Commun. 13(7), 432–436 (2019) Sun, Y., Wu, Q., et al.: Two-dimensional Bessel soliton clusters in strongly nonlocal media. Optoelectron. Adv. Mater. Rapid Commun. 13(7), 432–436 (2019)
Zurück zum Zitat Sun, Y.F., Combrié, S., De Rossi, A., et al.: Dynamics of mode-locked nanolasers based on Hermite–Gaussian modes. Phys. Rev. A 102, 043503(1–13) (2020)CrossRefADS Sun, Y.F., Combrié, S., De Rossi, A., et al.: Dynamics of mode-locked nanolasers based on Hermite–Gaussian modes. Phys. Rev. A 102, 043503(1–13) (2020)CrossRefADS
Zurück zum Zitat Wang, Q., Liang, G.: Vortex and cluster solitons in nonlocal nonlinear fractional Schrödinger equation. J. Opt. 22(5), 1–7 (2020)CrossRef Wang, Q., Liang, G.: Vortex and cluster solitons in nonlocal nonlinear fractional Schrödinger equation. J. Opt. 22(5), 1–7 (2020)CrossRef
Zurück zum Zitat Xu, S.L., Xue, L., et al.: Spatiotemporal soliton clusters in strongly nonlocal media with variable potential coefficients. Nonlinear Dyn. 87(2), 827–834 (2017)MathSciNetCrossRef Xu, S.L., Xue, L., et al.: Spatiotemporal soliton clusters in strongly nonlocal media with variable potential coefficients. Nonlinear Dyn. 87(2), 827–834 (2017)MathSciNetCrossRef
Zurück zum Zitat Zhang, K., Wen, W., et al.: Stability and controllability of various spatial solitons in exciton-polariton condensates by a composite pumping. Front. Phys. 10, 798562(1–8) (2022) Zhang, K., Wen, W., et al.: Stability and controllability of various spatial solitons in exciton-polariton condensates by a composite pumping. Front. Phys. 10, 798562(1–8) (2022)
Zurück zum Zitat Zhang, M.J., Wang, W.C., Xian, X.H., et al.: Real-time revealing of Cherenkov radiation evolution in optical fibers. Opt. Lett. 48(12), 3343–3346 (2023)CrossRefADS Zhang, M.J., Wang, W.C., Xian, X.H., et al.: Real-time revealing of Cherenkov radiation evolution in optical fibers. Opt. Lett. 48(12), 3343–3346 (2023)CrossRefADS
Zurück zum Zitat Zhao, G.L., Cheng, Z.J., et al.: Dynamics engineering of spatial beams in nonlocal nonlinear media. Optik 217, 164957(1–7) (2020)CrossRefADS Zhao, G.L., Cheng, Z.J., et al.: Dynamics engineering of spatial beams in nonlocal nonlinear media. Optik 217, 164957(1–7) (2020)CrossRefADS
Zurück zum Zitat Zhong, W.P.: Two-dimensional Laguerre–Gaussian asymmetric soliton family in strongly nonlocal media. Chin. Phys. Lett. 25(6), 2074–2077 (2008)CrossRefADS Zhong, W.P.: Two-dimensional Laguerre–Gaussian asymmetric soliton family in strongly nonlocal media. Chin. Phys. Lett. 25(6), 2074–2077 (2008)CrossRefADS
Zurück zum Zitat Zhong, W.P., Belic, M.R.: Three-dimensional optical vortex and necklace solitons in highly nonlocal nonlinear media. Phys. Rev. A 79, 023804(1–6) (2009)CrossRefADS Zhong, W.P., Belic, M.R.: Three-dimensional optical vortex and necklace solitons in highly nonlocal nonlinear media. Phys. Rev. A 79, 023804(1–6) (2009)CrossRefADS
Zurück zum Zitat Zhong, W.P., Yi, L.: Two-dimensional Laguerre–Gaussian soliton family in strongly nonlocal nonlinear media. Phys. Rev. A 75, 061801(1–4) (2007)CrossRefADS Zhong, W.P., Yi, L.: Two-dimensional Laguerre–Gaussian soliton family in strongly nonlocal nonlinear media. Phys. Rev. A 75, 061801(1–4) (2007)CrossRefADS
Zurück zum Zitat Zhong, L.H., Yang, J., et al.: Hermite–Gaussian stationary solutions in strongly nonlocal nonlinear optical media. Opt. Commun. 383, 274–280 (2017)CrossRefADS Zhong, L.H., Yang, J., et al.: Hermite–Gaussian stationary solutions in strongly nonlocal nonlinear optical media. Opt. Commun. 383, 274–280 (2017)CrossRefADS
Zurück zum Zitat Zhong, W.P., Zhong, W.Y., Belić, M., et al.: Accessible solitons in three-dimensional parabolic cylindrical coordinates. Phys. Lett. A 384, 126914(1–6) (2020)MathSciNetCrossRef Zhong, W.P., Zhong, W.Y., Belić, M., et al.: Accessible solitons in three-dimensional parabolic cylindrical coordinates. Phys. Lett. A 384, 126914(1–6) (2020)MathSciNetCrossRef
Zurück zum Zitat Zhou, Q., Huang, Z.H., Sun, Y.Z., et al.: Collision dynamics of three-solitons in an optical communication system with third-order dispersion and nonlinearity. Nonlinear Dyn. 111(6), 5757–5765 (2023)CrossRef Zhou, Q., Huang, Z.H., Sun, Y.Z., et al.: Collision dynamics of three-solitons in an optical communication system with third-order dispersion and nonlinearity. Nonlinear Dyn. 111(6), 5757–5765 (2023)CrossRef
Zurück zum Zitat Zhu, B.B., Fu, Z.Y., et al.: Spatially homogeneous few-cycle compression of Yb lasers via all-solid-state free-space soliton management. Opt. Express 30(2), 2918–2932 (2022)CrossRefADS Zhu, B.B., Fu, Z.Y., et al.: Spatially homogeneous few-cycle compression of Yb lasers via all-solid-state free-space soliton management. Opt. Express 30(2), 2918–2932 (2022)CrossRefADS
Metadaten
Titel
Soliton solutions for NLS model via the separation of variables method
verfasst von
S.-f. Wang
Publikationsdatum
01.05.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-06083-y

Weitere Artikel der Ausgabe 5/2024

Optical and Quantum Electronics 5/2024 Zur Ausgabe

Neuer Inhalt