IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v184y2024ics0960077924005162.html
   My bibliography  Save this article

Soliton’s behavior and stability analysis to a model in mathematical physics

Author

Listed:
  • Islam, Md. Ekramul
  • Mannaf, Md. Abde
  • Khan, Kamruzzaman
  • Akbar, M. Ali

Abstract

The Hamiltonian amplitude model is one of the important ways to describe Hamiltonian mechanics. This study aims to investigate the model to discover the mechanisms of the obtained solutions through two analytical schemes and interpret the stability of the solitons at several equilibrium points via bifurcation analysis along with the Hamiltonian system. Additionally, we find out the crucial point of the particles in nature consisting of the stated model. Furthermore, we demonstrate the equilibrium point in the graphical representation to analyze the stability of the signal by describing the saddle point and center of the system. Thus the novelty of this investigation is that the attained solutions of the stated model deliver several types of waves such as periodic, lump, rogue, breather, dark, and bright soliton depending on time and wave displacement parameters that are depicted in 3D and 2D figures. We also analyze the nature of the wave based on two diffusion constants of the governing model and describe the effect of these parameters on the wave profile. As can stated the bifurcation analysis and the two implemented methods are very useful and informative to describe the mathematical model in future studies like this investigation and many more.

Suggested Citation

  • Islam, Md. Ekramul & Mannaf, Md. Abde & Khan, Kamruzzaman & Akbar, M. Ali, 2024. "Soliton’s behavior and stability analysis to a model in mathematical physics," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005162
    DOI: 10.1016/j.chaos.2024.114964
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924005162
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114964?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 search for a different version of it.

    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:184:y:2024:i:c:s0960077924005162. 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.