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Diverse Soliton Structures of the (2 + 1)‐Dimensional Nonlinear Electrical Transmission Line Equation

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  • Peng-Fei Li
  • Kang-Jia Wang

Abstract

In this work, the (2 + 1)‐dimensional nonlinear electrical transmission line equation (NETLE) is investigated by applying three recent technologies, namely, the variational approach, Hamiltonian approach, and energy balance approach. Diverse exact soliton solutions such as the bright, bright‐like, kinky bright, bright‐dark soliton, and periodic soliton solutions are successfully constructed. The outlines of the different solutions are shown in the form of the 3‐D plot with the help of the Wolfram Mathematica. It reveals that the used methods are concise and effective and are expected to provide some inspiration for the study of travelling wave solutions of the PDEs in physics.

Suggested Citation

  • Peng-Fei Li & Kang-Jia Wang, 2022. "Diverse Soliton Structures of the (2 + 1)‐Dimensional Nonlinear Electrical Transmission Line Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1555198
    DOI: 10.1155/2022/1555198
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    References listed on IDEAS

    as
    1. Kang-Jia Wang & Guo-Dong Wang & Feng Shi, 2022. "Abundant Exact Traveling Wave Solutions To The Local Fractional (3+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-8, May.
    2. Kang-Jia Wang & Feng Shi & Guo-Dong Wang, 2022. "Periodic Wave Structure Of The Fractal Generalized Fourth-Order Boussinesq Equation Traveling Along The Non-Smooth Boundary," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(09), pages 1-8, December.
    3. Kang-Jia Wang & Guo-Dong Wang & Feng Shi & Hong-Wei Zhu, 2022. "Generalized Variational Principles And New Abundant Wave Structures Of The Fractal Coupled Boussinesq Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(07), pages 1-14, November.
    4. Kang-Le Wang & Hao Wang, 2022. "Fractal Variational Principles For Two Different Types Of Fractal Plasma Models With Variable Coefficients," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-6, May.
    5. Kang-Jia Wang, 2022. "Investigation To The Local Fractional Fokas System On Cantor Set By A Novel Technology," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-7, September.
    6. Kang-Jia Wang, 2022. "Exact Traveling Wave Solutions To The Local Fractional (3 + 1)-Dimensional Jimbo–Miwa Equation On Cantor Sets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-10, September.
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