IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v201y2025ip2s0960077925013013.html

Dynamical analysis of Jacobian elliptic function soliton solutions, and chaotic behavior with defective tools of the stochastic PNLSE equation with multiplicative white noise

Author

Listed:
  • Roshid, Md. Mamunur
  • Abdalla, Mohamed
  • Osman, M.S.

Abstract

This manuscript presents an exclusive study on the stochastic perturbed nonlinear Schrödinger equation (SPNLSE) to check the wave propagation of light in nonlinear optical fibers. Firstly, the stochastic perturbed nonlinear Schrödinger equation is converted into a planar dynamic system using a wave transformation variable and a Galilean transformation. Secondly, the chaotic nature, super-periodicity, strange attractor, fractal dimension, and return map are analyzed using a frequency and trigonometric perturbation term. Additionally, the optical soliton solutions of the proposed model are constructed using a new Jacobian elliptic function method. The solutions encompass all trigonometric and hyperbolic functions. Using suitable values for the free parameters, the bright bell shape, dark bell shape, periodic wave, and M-shape soliton solution are illustrated through three-dimensional (3D), two-dimensional (pathline) profiles and also analyse the dynamic properties of the derived solutions. The influence of the multiplicative noise intensity is also presented for diverse values of ρ. This method demonstrates how well graphical simulations work to show how these solutions behave and interact in practical settings. The result of the comparison demonstrates that the multiplicative noise has a great influence on the obtained solutions. Additionally, the numerical stability of the obtained soliton solutions is checked by the Hamiltonian method. The obtained solutions of the proposed model are very important for figuring out how stable optical solitons are, how noise causes jitter, and how signals degrade in fiber-optic communications and nonlinear photonic systems. The multiplicative noise term is very important since it scales with the signal itself, which causes phase and amplitude noise to be associated. This can affect long-haul transmission and ultrafast pulse dynamics.

Suggested Citation

  • Roshid, Md. Mamunur & Abdalla, Mohamed & Osman, M.S., 2025. "Dynamical analysis of Jacobian elliptic function soliton solutions, and chaotic behavior with defective tools of the stochastic PNLSE equation with multiplicative white noise," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p2:s0960077925013013
    DOI: 10.1016/j.chaos.2025.117288
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925013013
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117288?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.

    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:201:y:2025:i:p2:s0960077925013013. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.