IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v177y2023ics0960077923011141.html

Optical solitons for the concatenation model: Power-law nonlinearity

Author

Listed:
  • Kudryashov, Nikolay A.
  • Kutukov, Aleksandr A.
  • Biswas, Anjan
  • Zhou, Qin
  • Yıldırım, Yakup
  • Alshomrani, Ali Saleh

Abstract

The current paper retrieves optical soliton solutions to the concatenation model that is with power-law nonlinearity. The traveling wave hypothesis is the starting point. The detailed mathematical analysis leads to the cnoidal waves and snoidal waves, which eventually lead to the bright and singular soliton solutions when the modulus of ellipticity reaches the appropriate limiting value.

Suggested Citation

  • Kudryashov, Nikolay A. & Kutukov, Aleksandr A. & Biswas, Anjan & Zhou, Qin & Yıldırım, Yakup & Alshomrani, Ali Saleh, 2023. "Optical solitons for the concatenation model: Power-law nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011141
    DOI: 10.1016/j.chaos.2023.114212
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923011141
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.114212?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Jhangeer, Adil & Hussain, Amjad & Junaid-U-Rehman, M. & Baleanu, Dumitru & Riaz, Muhammad Bilal, 2021. "Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Kudryashov, Nikolay A., 2019. "Exact solutions of the equation for surface waves in a convecting fluid," Applied Mathematics and Computation, Elsevier, vol. 344, pages 97-106.
    3. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Yakup Yıldırım & Anjan Biswas & Luminita Moraru & Abdulah A. Alghamdi, 2023. "Quiescent Optical Solitons for the Concatenation Model with Nonlinear Chromatic Dispersion," Mathematics, MDPI, vol. 11(7), pages 1-25, April.
    5. Kudryashov, Nikolay A., 2020. "First integrals and general solution of the complex Ginzburg-Landau equation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    6. Kudryashov, Nikolay A., 2020. "Optical solitons of model with integrable equation for wave packet envelope," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    7. Cao, Yulei & Malomed, Boris A. & He, Jingsong, 2018. "Two (2+1)-dimensional integrable nonlocal nonlinear Schrödinger equations: Breather, rational and semi-rational solutions," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 99-107.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Polyanin, Andrei D. & Kudryashov, Nikolay A., 2025. "Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anjan Biswas & Jose Vega-Guzman & Yakup Yıldırım & Luminita Moraru & Catalina Iticescu & Abdulah A. Alghamdi, 2023. "Optical Solitons for the Concatenation Model with Differential Group Delay: Undetermined Coefficients," Mathematics, MDPI, vol. 11(9), pages 1-14, April.
    2. Mahfoudi, Narimene & Bouguerra, Abdesselam & Triki, Houria & Azzouzi, Faiçal & Biswas, Anjan & Yıldırım, Yakup & Alshomrani, Ali Saleh, 2024. "Chirped self-similar optical solitons with cubic–quintic–septic–nonic form of self-phase modulation," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. Kudryashov, Nikolay A., 2020. "Optical solitons of model with integrable equation for wave packet envelope," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A., 2024. "Stable higher-order vortex quantum droplets in an annular potential," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    5. Zhou, Zheng & Chen, Tianyou & Zhu, Bo & Zhong, Honghua, 2025. "Higher-charged binary vortex quantum droplets in a ring potential," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    6. Zhao, Yuan & Huang, Qihong & Gong, Tixian & Xu, Siliu & Li, Zeping & Malomed, Boris A., 2024. "Three-dimensional solitons supported by the spin–orbit coupling and Rydberg–Rydberg interactions in PT-symmetric potentials," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    7. Otajonov, Sherzod R. & Umarov, Bakhram A. & Abdullaev, Fatkhulla Kh., 2024. "Dynamics of quasi-one-dimensional quantum droplets in Bose–Bose mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    8. Signé, Eric Martial & Djazet, Alain & Megne, Laure Tiam & Djoko, Martin & Fewo, Serge I. & Kofané, Timoléon C., 2024. "Light beams of the (3+1)D complex Ginzburg–Landau equation induced by the interaction between the external potential and higher-order nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    9. Alqudah, Mohammad & AlMheidat, Maalee & Alqarni, M.M. & Mahmoud, Emad E. & Ahmad, Shabir, 2024. "Strange attractors, nonlinear dynamics and abundant novel soliton solutions of the Akbota equation in Heisenberg ferromagnets," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    10. Arnous, Ahmed H. & Biswas, Anjan & Yıldırım, Yakup & Zhou, Qin & Liu, Wenjun & Alshomrani, Ali S. & Alshehri, Hashim M., 2022. "Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    11. Chen, Junbo & Mihalache, Dumitru & Belić, Milivoj R. & Gao, Xuzhen & Zhu, Danfeng & Deng, Dingnan & Qiu, Shaobin & Zhu, Xing & Zeng, Liangwei, 2024. "Composite solitons in spin–orbit-coupled Bose–Einstein condensates within optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    12. Hanqing Zhao & Boris A. Malomed & Ivan I. Smalyukh, 2023. "Topological solitonic macromolecules," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    13. Li, Jiawei & Shi, Jincheng & Pang, Xiaoyan & Belić, Milivoj R. & Mihalache, Dumitru & Qin, Wenqiang & Xu, Qinfang & Zhu, Xing & Zeng, Liangwei, 2026. "Spontaneous symmetry and antisymmetry breaking of solitons in quintic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    14. Djazet, Alain & Fewo, Serge I. & Djoko, Martin & Felenou, E. Tchomgo & Kofané, Timoléon C., 2023. "Extension of the stability criterion for dissipative vector solitons of a laser coupled two-dimensional Ginzburg–Landau Equation generated from vector asymmetric inputs," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    15. Kudryashov, Nikolay A., 2019. "Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 323-330.
    16. Kong, Chao & Li, Jinqing & Tang, Xinyi & Li, Xuli & Jiao, Ju & Cao, Jun & Deng, Haiming, 2024. "Composite solitary vortices of three-wave mixing in quasi-phase-matched photonic crystals," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    17. Wu, Di & Li, Junhao & Gao, Xi & Shi, Yi & Zhao, Yuan & Dong, Liangwei & Malomed, Boris A. & Zhu, Ni & Xu, Siliu, 2025. "Multicore vortex solitons in cubic–quintic nonlinear media with a Bessel lattice potential," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    18. Wang, Qing & Zhu, Junying & Wang, Jun & Yu, Haiyan & Hu, Beibei, 2024. "Controllable trajectory and shape of Hermite-Gaussian soliton clusters," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    19. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A. & Kartashov, Yaroslav V., 2026. "Hopfions in the Lee–Huang–Yang superfluids," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    20. Huang, Changming & Fu, Qidong & Ma, Li, 2025. "Stable high-charge vortex dissipative solitons in azimuthally modulated waveguide arrays with localized gain," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011141. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.