journal article·2024-11-01Open access

Exploring the nonlinear behavior of solitary wave structure to the integrable Kairat-X equation

Maha Alammari, Mujahid Iqbal, Waqas Ali Faridi, Muhammad Amin S. Murad, Reem Algethamie, Faizah A. H. Alomari, Abdullah S. Alsubaie, Aly R. Seadawy, David Yaro

AIP Advances· Volume 14· Issue 11

Abstract

This study presented various types of soliton solutions for the nonlinear integrable Kairat-X equation by utilizing the improved F-expansion technique with symbolic computational software Mathematica. Explored results for the nonlinear integrable Kairat-X equation are interesting, novel, and more general with different physical structures of solitary waves and solitons, such as kink wave, mixed dark–bright, peakon, anti-kink wave, bright, anti-kink dark, periodic, and dark solitons. With numerical simulations, the secured soliton solutions visualized in two-dimensional, three-dimensional, and contour graphs represent the physical phenomena of the demonstrated results. The explored soliton solutions will be helpful to comprehend interesting physical structures in fiber optics, nonlinear optics, ferromagnetic dynamics, and many other scientific fields. The extracted soliton structure sheds light that the enhanced technique is effective, powerful, concise, and reliable. We can also investigate the soliton results of other nonlinear integrable partial and fractional equations.
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Research context

OpenAlex topics: Nonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, College of Science, King Saud University 1 , P.O. Box 22452, Riyadh 11495,

School of Mathematical Sciences, Jiangsu University 2 , Zhenjiang, Jiangsu 212013,

Department of Mathematics, University of Management and Technology 3 , Lahore,

Department of Mathematics, College of Science, University of Duhok 4 , Duhok 42001,

Department of Mathematics, College of Science, Al–Baha University 5 , Alaqiq 65799,

Department of Physics, College of Khurma University College, Taif University 6 , Taif 21944,

Mathematics Department, Faculty of Science, Taibah University 7 , Al–Madinah Al–Munawarah,

Department of Mathematics and Statistics, Cape Coast Technical University 8 , P.O. Box DL 50, Cape Coast,

Funding

Taif University

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