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Multi-peak and rational soliton propagations for $(3 + 1)$ -dimensional generalized Konopelchenko–Dubrovsky–Kaup Kupershmidt model in fluid mechanics, ocean dynamics and plasma physics

Sarfaraz Ahmed

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

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Aly R. Seadawy

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

E-mail Address: aabdelalim@taibahu.edu.sa

Corresponding author.

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Syed T. R. Rizvi

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

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, and

Majid Hameed

Punjab Education Foundation, Pakistan

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https://doi.org/10.1142/S021988782350158XCited by:13 (Source: Crossref)

Abstract

This paper retrieves the investigation of rational solitons via symbolic computation with logarithmic transformation and ansatz functions approach for the $(3 + 1)$ -dimensional generalized Konopelchenko–Dubrovsky–Kaup-Kupershmidt (GKDKK) equation in fluid mechanics, ocean dynamics and plasma physics. We find two categories of M-shaped rational solitons and their dynamics will be revealed through graphs by choosing the suitable values of involved parameters. In addition, two categories of M-shaped rational solitons and their interactions with kink waves will be analyzed. Furthermore, homoclinic breathers, multi-wave and kink cross rational solitons will be investigated. The periodic, rational, dark, bright, Weierstrass elliptic function and positive soliton solutions will also be retrieved with the aid of Sub-ODE approach. Moreover, stability characteristics of solutions will be evaluated.

Keywords:

References

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