IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2021y2021i1n6668092.html

Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics

Author

Listed:
  • Nur Hasan Mahmud Shahen
  • Foyjonnesa
  • Md Habibul Bashar
  • Tasnim Tahseen
  • Sakhawat Hossain

Abstract

Utilizing of illustrative scheming programming, the study inspects the careful voyaging wave engagements from the nonlinear time fractional modified Kawahara equation (mKE) by employing the advanced exp(−φ(ξ))‐expansion policy in terms of trigonometric, hyperbolic, and rational function through some treasured fractional order derivative and free parameters. The undercurrents of nonlinear wave answer are scrutinized and confirmed by MATLAB in 3D and 2D plots, and density plot by specific values of the convoluted parameters is designed. Our preferred advanced exp(−φ(ξ))‐expansion technique which is parallel to (G′/G) expansion technique is trustworthy dealing for searching significant nonlinear waves that progress a modification of dynamic depictions that ascend in mathematical physics and engineering grounds.

Suggested Citation

  • Nur Hasan Mahmud Shahen & Foyjonnesa & Md Habibul Bashar & Tasnim Tahseen & Sakhawat Hossain, 2021. "Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:6668092
    DOI: 10.1155/2021/6668092
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2021/6668092
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6668092?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
    ---><---

    References listed on IDEAS

    as
    1. Yun-Mei Zhao, 2014. "New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-13, June.
    2. Yun-Mei Zhao, 2014. "New Exact Solutions for a Higher‐Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Bhatter, Sanjay & Mathur, Amit & Kumar, Devendra & Nisar, Kottakkaran Sooppy & Singh, Jagdev, 2020. "Fractional modified Kawahara equation with Mittag–Leffler law," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    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. Alemayehu Tamirie Deresse, 2022. "Double Sumudu Transform Iterative Method for One‐Dimensional Nonlinear Coupled Sine‐Gordon Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    2. Sakhawat Hossain & M. M. Rahman & Md. Habibul Bashar & Shimul Biswas & Md Mamunur Roshid, 2025. "Dynamical Structure of the Soliton Solution of M‐Fractional (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp(−ϕ(ξ))‐Expansion Schemes in Mathematical Physics," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    3. Singh, Jagdev, 2020. "Analysis of fractional blood alcohol model with composite fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Faten H. Damag, 2025. "On Comparing Analytical and Numerical Solutions of Time Caputo Fractional Kawahara Equations via Some Techniques," Mathematics, MDPI, vol. 13(18), pages 1-18, September.
    5. Sene, Ndolane, 2020. "SIR epidemic model with Mittag–Leffler fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    6. Hosseini, Kamyar & Ilie, Mousa & Mirzazadeh, Mohammad & Yusuf, Abdullahi & Sulaiman, Tukur Abdulkadir & Baleanu, Dumitru & Salahshour, Soheil, 2021. "An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 248-260.
    7. Ghanbari, Behzad & Günerhan, Hatıra & Srivastava, H.M., 2020. "An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    8. Danane, Jaouad & Allali, Karam & Hammouch, Zakia, 2020. "Mathematical analysis of a fractional differential model of HBV infection with antibody immune response," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

    More about this item

    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:wly:jnlamp:v:2021:y:2021:i:1:n:6668092. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    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.