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Multiple travelling wave solutions for electrical transmission line model

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Abstract

In this paper, we find multiple travelling wave solutions using three integration schemes to integrate the model of electrical transmission line. These schemes are \((G^{\prime }/G)\)-expansion method, extended tanh method and sine–cosine method, which are applied with computerized symbolic computation. The different kinds of solutions: solitary, shock, singular, periodic, rational and kink-shaped, are obtained. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the transmission line equation.

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Authors and Affiliations

  1. Department of Mathematics, National University of Computer and Emerging Sciences, Lahore, Pakistan

    A. Sardar & S. M. Husnine

  2. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

    S. T. R. Rizvi & K. Ali

  3. Centre for Undergraduate Studies, University of Punjab, Lahore, 54590, Pakistan

    M. Younis

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  1. A. Sardar
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  2. S. M. Husnine
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  3. S. T. R. Rizvi
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  4. M. Younis
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  5. K. Ali
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Correspondence to M. Younis.

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Sardar, A., Husnine, S.M., Rizvi, S.T.R. et al. Multiple travelling wave solutions for electrical transmission line model. Nonlinear Dyn 82, 1317–1324 (2015). https://doi.org/10.1007/s11071-015-2240-9

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  • DOI: https://doi.org/10.1007/s11071-015-2240-9

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