IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i2p200-d721088.html
   My bibliography  Save this article

Diverse Multiple Lump Analytical Solutions for Ion Sound and Langmuir Waves

Author

Listed:
  • Abdulmohsen D. Alruwaili

    (Mathematics Department, College of Science, Jouf University, Sakaka 72341, Saudi Arabia)

  • Aly R. Seadawy

    (Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi Arabia)

  • Syed T. R. Rizvi

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Sakaka 72341, Pakistan)

  • Sid Ahmed O. Beinane

    (Mathematics Department, College of Science, Jouf University, Sakaka 72341, Saudi Arabia)

Abstract

In this work, we study a time-fractional ion sound and Langmuir waves system (FISLWS) with Atangana–Baleanu derivative (ABD). We use a fractional ABD operator to transform our system into an ODE. We investigate multiwaves, periodic cross-kink, rational, and interaction solutions by the combination of rational, trigonometric, and various bilinear functions. Furthermore, 3D, 2D, and relevant contour plots are presented for the natural evolution of the gained solutions under the selection of proper parameters.

Suggested Citation

  • Abdulmohsen D. Alruwaili & Aly R. Seadawy & Syed T. R. Rizvi & Sid Ahmed O. Beinane, 2022. "Diverse Multiple Lump Analytical Solutions for Ion Sound and Langmuir Waves," Mathematics, MDPI, vol. 10(2), pages 1-21, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:200-:d:721088
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/2/200/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/2/200/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Seadawy, Aly R. & Cheemaa, Nadia, 2019. "Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger Equations in two core optical fibers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 529(C).
    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. Ruijuan Li & Onur Alp İlhan & Jalil Manafian & Khaled H. Mahmoud & Mostafa Abotaleb & Ammar Kadi, 2022. "A Mathematical Study of the (3+1)-D Variable Coefficients Generalized Shallow Water Wave Equation with Its Application in the Interaction between the Lump and Soliton Solutions," Mathematics, MDPI, vol. 10(17), pages 1-17, August.
    2. Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz & Bashir, Azhar, 2022. "Lump solutions, Kuznetsov–Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod," Chaos, Solitons & Fractals, Elsevier, vol. 163(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. Simbawa, Eman & Seadawy, Aly R. & Sugati, Taghreed G., 2021. "Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Seadawy, Aly R. & Rizvi, Syed T.R. & Sohail, Muhammad & Ali, Kashif, 2022. "Nonlinear model under anomalous dispersion regime: Chirped periodic and solitary waves," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    3. Aly R. Seadawy & Hanadi Zahed & Mujahid Iqbal, 2022. "Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques," Mathematics, MDPI, vol. 10(7), pages 1-15, March.
    4. Bashir, Azhar & Seadawy, Aly R. & Ahmed, Sarfaraz & Rizvi, Syed T.R., 2022. "The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    5. Taghread Ghannam Alharbi & Abdulghani Alharbi, 2023. "A Study of Traveling Wave Structures and Numerical Investigations into the Coupled Nonlinear Schrödinger Equation Using Advanced Mathematical Techniques," Mathematics, MDPI, vol. 11(22), pages 1-16, November.
    6. Ahmad, Hijaz & Seadawy, Aly R. & Khan, Tufail A., 2020. "Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 13-23.
    7. Seadawy, Aly R. & Rizvi, Syed T.R. & Mustafa, B. & Ali, K. & Althubiti, Saeed, 2022. "Chirped periodic waves for an cubic-quintic nonlinear Schrödinger equation with self steepening and higher order nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    8. Kumar, Raj & Kumar, Avneesh, 2022. "Dynamical behavior of similarity solutions of CKOEs with conservation law," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    9. Rizvi, Syed T.R. & Seadawy, Aly R. & Raza, Umar, 2022. "Some advanced chirped pulses for generalized mixed nonlinear Schrödinger dynamical equation," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    10. Syed T. R. Rizvi & Aly R. Seadawy & Shami A. M. Alsallami, 2023. "Grey-Black Optical Solitons, Homoclinic Breather, Combined Solitons via Chupin Liu’s Theorem for Improved Perturbed NLSE with Dual-Power Law Nonlinearity," Mathematics, MDPI, vol. 11(9), pages 1-19, April.
    11. Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz & Bashir, Azhar, 2022. "Lump solutions, Kuznetsov–Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

    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:gam:jmathe:v:10:y:2022:i:2:p:200-:d:721088. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.