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Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line

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Abstract

In this paper, we study some soliton solutions for a nonlinear Telegraph equation (NLTE), also known as the damped wave equation studied in electrical transmission line. We analyze one soliton transformation, two soliton interaction, three soliton interaction and N-soliton interactions for NLTE with the help of Hirota bilinear method (HBM). To enhance the quality of information carriers in fibers, we can place two solitons close to one another in a single channel of an optical fiber and also suppress their mutual interaction. We also obtain Jacobi elliptic solutions (JES) and other solitary wave solutions which degenerate to kink, bell type, rational and dark solitons for NLTE with the aid of extended trial function scheme (ETFS).

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan

    Syed Tahir Raza Rizvi, Kashif Ali & Badar Nawaz

  2. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, Eskisehir, 26030, Turkey

    Ahmet Bekir

  3. Department of Computer Science, University of the Punjab, Lahore, Pakistan

    M. Younis

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  1. Syed Tahir Raza Rizvi
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  2. Kashif Ali
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  4. Badar Nawaz
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  5. M. Younis
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Rizvi, S.T.R., Ali, K., Bekir, A. et al. Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line. Qual. Theory Dyn. Syst. 21, 12 (2022). https://doi.org/10.1007/s12346-021-00547-w

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