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The Formation Of Exact Traveling Ferromagnetic Waves And Mathematically Forecasting Of Nonlinear Dynamical Propagation

Author

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  • OVIDIU C. NOVAC

    (Department of Computers and Information Technology, Faculty of Electrical Engineering and Information Technology, University of Oradea, Oradea 410087, Romania)

  • WAQAS ALI FARIDI

    (Department of Mathematics, University of Management and Technology, Lahore, Pakistan)

  • MUHAMMAD ABU BAKAR

    (Department of Mathematics, University of Management and Technology, Lahore, Pakistan)

  • MUJAHID IQBAL

    (College of Information Science and Technology, Dalian Maritime University, Dalian 116026, Liaoning, P. R. China)

  • MUHAMMAD AMIN SADIQ MURAD

    (Department of Mathematics, College of Science, University of Duhok, Duhok, Iraq)

  • NEJLA MAHJOUB SAID

    (Department of Physics, College of Science, King Khalid University, Abha 61413, Saudi Arabia)

  • MOHAMMED SALLAH

    (Applied Mathematical Physics Research Group, Department of Physics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

This work explores the soliton solutions associated with the (1 + 1)-dimensional Kairat-X equation, which finds broad applications in a variety of fields, including nonlinear optics, ferromagnetic dynamics, and fiber optics. There has not been any research that has produced these kinds of answer before this one. This work focuses on two main areas: the integrable dynamics of induced space curves and the study of different kinds of soliton wave solution. The study applies the G′ G2-expansion method along with a new auxiliary equation method to derive these soliton solutions. Singular, trigonometric, hyperbolic, and multiple families of solitons are among the wide range of unique analytical wave solutions that are presented. Moreover, contour plots and two- and three-dimensional visualizations are used to analyze the propagation properties of the derived soliton solutions, offering a promising basis for additional research.

Suggested Citation

  • Ovidiu C. Novac & Waqas Ali Faridi & Muhammad Abu Bakar & Mujahid Iqbal & Muhammad Amin Sadiq Murad & Nejla Mahjoub Said & Mohammed Sallah, 2025. "The Formation Of Exact Traveling Ferromagnetic Waves And Mathematically Forecasting Of Nonlinear Dynamical Propagation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-18.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401541
    DOI: 10.1142/S0218348X25401541
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