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

Nadia Javed, Nauman Ahmed, Baboucarr Ceesay and Muhammad Zafarullah Baber

Advances in Mathematical Physics, 2025, vol. 2025, 1-16

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5994751

DOI: 10.1155/admp/5994751

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