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Abundant Families of Explicit Solitary Wave Structure for the Time-Fractional Nonlinear Electrical Transmission Line Model With Its Modulation Instability

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  • Nadia Javed
  • Nauman Ahmed
  • Baboucarr Ceesay
  • Muhammad Zafarullah Baber

Abstract

In this work, the abundant families of solitary wave solutions for the (2 + 1) dimensional time-fractional nonlinear electrical transmission line (TFNLETL) model are investigated. To obtained these solutions, a well-known approach is used namely, the Sardar subequation method. The nonlinear electrical transmission line (NLETL) model characterizes wave distributions on network lines. The conformable time-fractional derivative is used in this study. The exact solutions to the NLETL equation are discovered, which involve the mathematical structures like bright, dark, kink, mixed dark-bright, mixed dark-singular, mixed soliton, and solitary wave solutions. Moreover, we explored the modulation instability (MI) of the classical NLETL model. We offer two-dimensional, three-dimensional, and contour graphs to obtain a thorough grasp of the dynamics of the solutions. Mathematica 11.1 software is applied to carefully carry out all of the calculations in this study, guaranteeing precision and dependability in the analysis of the resultant solution.

Suggested Citation

  • Nadia Javed & Nauman Ahmed & Baboucarr Ceesay & Muhammad Zafarullah Baber, 2025. "Abundant Families of Explicit Solitary Wave Structure for the Time-Fractional Nonlinear Electrical Transmission Line Model With Its Modulation Instability," Advances in Mathematical Physics, Hindawi, vol. 2025, pages 1-16, November.
    • Handle: RePEc:hin:jnlamp:5994751
    DOI: 10.1155/admp/5994751
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