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Some Latest Families of Exact Solutions to Date–Jimbo–Kashiwara–Miwa Equation and Its Stability Analysis

Author

Listed:
  • Arzu Akbulut

    (Department of Mathematics, Art-Science Faculty, Uludag University, Bursa 16059, Türkiye)

  • Rubayyi T. Alqahtani

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia)

  • Nadiyah Hussain Alharthi

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia)

Abstract

The present study demonstrates the derivation of new analytical solutions for the Date–Jimbo–Kashiwara–Miwa equation utilizing two distinct methodologies, specifically the modified Kudryashov technique and the ( g ′)-expansion procedure. These innovative concepts employ symbolic computations to provide a dynamic and robust mathematical procedure for addressing a range of nonlinear wave situations. Additionally, a comprehensive stability analysis is performed, and the acquired results are visually represented through graphical representations. A comparison between the discovered solutions and those already found in the literature has also been performed. It is anticipated that the solutions will contribute to the existing literature related to mathematical physics and soliton theory.

Suggested Citation

  • Arzu Akbulut & Rubayyi T. Alqahtani & Nadiyah Hussain Alharthi, 2023. "Some Latest Families of Exact Solutions to Date–Jimbo–Kashiwara–Miwa Equation and Its Stability Analysis," Mathematics, MDPI, vol. 11(19), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4176-:d:1254198
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    References listed on IDEAS

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    1. Arzu Akbulut & Gaetano Luciano, 2023. "Obtaining the Soliton Type Solutions of the Conformable Time-Fractional Complex Ginzburg–Landau Equation with Kerr Law Nonlinearity by Using Two Kinds of Kudryashov Methods," Journal of Mathematics, Hindawi, vol. 2023, pages 1-6, February.
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