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<p>This work investigates the newly proposed integrable (3+1)-dimensional (3D) extended Kairat-X equation. By incorporating Hirota’s bilinear form, various lump and interaction solutions such as periodic-lump interaction, 1-stripe, periodic and lump interaction, 1-stripe-lump interaction, etc. are obtained. Along with these lump interaction solutions, various other types such as wave-type solutions, kink-cross rational solutions and solitary wave solutions are also investigated. Additionally, the innovative soliton-type solutions are provided by the extended transformed rational function technique, which uses the Hirota bilinear representation of the governing model. To highlight the physical features of these solutions, 3D and density plots are generated with the aid of interactive software which gave us a better understanding of the results. These solutions provide a comprehensive study of the dynamical behaviour of novel nonlinear Kairat-X equation.</p>

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Dynamical analysis of the (3+1)-dimensional extended Kairat-X equation: analysing the interaction paradigms

  • 期刊论文

  • 发表日期：

    2026年1月22日

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  • Mohammad Asadullah,
  • Ahmad Javid,
  • Younes Chahlaoui,
  • Nauman Raza,
  • Ahmet Bekir

摘要

This work investigates the newly proposed integrable (3+1)-dimensional (3D) extended Kairat-X equation. By incorporating Hirota’s bilinear form, various lump and interaction solutions such as periodic-lump interaction, 1-stripe, periodic and lump interaction, 1-stripe-lump interaction, etc. are obtained. Along with these lump interaction solutions, various other types such as wave-type solutions, kink-cross rational solutions and solitary wave solutions are also investigated. Additionally, the innovative soliton-type solutions are provided by the extended transformed rational function technique, which uses the Hirota bilinear representation of the governing model. To highlight the physical features of these solutions, 3D and density plots are generated with the aid of interactive software which gave us a better understanding of the results. These solutions provide a comprehensive study of the dynamical behaviour of novel nonlinear Kairat-X equation.