IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v203y2023icp699-720.html
   My bibliography  Save this article

Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials

Author

Listed:
  • Silambarasan, Rathinavel
  • Kılıçman, Adem

Abstract

The nonlinear dispersive wave equation inside the cylindrical elastic rod is derived by applying the Navier–Bernoulli hypothesis and Love’s relation. The elastic rod is assumed to be composed of the Murnaghan’s materials such as Lamé’s coefficient, Poisson ratio and constitutive constant which are compressible in nature. In this research paper we apply the two integral architectures namely extended sine–Gordon method and modified exponential function method to study the dispersive wave and solve for the solitons and their classifications. The topological (or) dark soliton, compound topological–non-topological (bright–dark) solitons are obtained by extended sine–Gordon method. The soliton like and singular periodic solutions are obtained by modified exponential function method. The existence of the number of solutions are proved with respect to the linear equation obtained by balancing principle. The related two and three dimensional graphs are simulated and drawn to show the complex structures.

Suggested Citation

  • Silambarasan, Rathinavel & Kılıçman, Adem, 2023. "Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 699-720.
    • Handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:699-720
    DOI: 10.1016/j.matcom.2022.07.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475422003160
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2022.07.014?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.

    References listed on IDEAS

    as
    1. Gao, Wei & Silambarasan, Rathinavel & Baskonus, Haci Mehmet & Anand, R. Vijay & Rezazadeh, Hadi, 2020. "Periodic waves of the non dissipative double dispersive micro strain wave in the micro structured solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Noha M. Rasheed & Mohammed O. Al-Amr & Emad A. Az-Zo’bi & Mohammad A. Tashtoush & Lanre Akinyemi, 2021. "Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method," Mathematics, MDPI, vol. 9(16), pages 1-12, August.
    3. Akinyemi, Lanre & Şenol, Mehmet & Iyiola, Olaniyi S., 2021. "Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 211-233.
    Full references (including those not matched with items on IDEAS)

    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. Noha M. Rasheed & Mohammed O. Al-Amr & Emad A. Az-Zo’bi & Mohammad A. Tashtoush & Lanre Akinyemi, 2021. "Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method," Mathematics, MDPI, vol. 9(16), pages 1-12, August.
    2. Silambarasan, Rathinavel & Nisar, Kottakkaran Sooppy, 2023. "Doubly periodic solutions and non-topological solitons of 2+1− dimension Wazwaz Kaur Boussinesq equation employing Jacobi elliptic function method," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Silambarasan, Rathinavel & Baskonus, Haci Mehmet & Vijay Anand, R. & Dinakaran, M. & Balusamy, Balamurugan & Gao, Wei, 2021. "Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 566-602.

    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:matcom:v:203:y:2023:i:c:p:699-720. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.