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Exact and soliton solutions to nonlinear transmission line model

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Abstract

A nonlinear transmission line (NLTL) is comprised of a transmission line periodically loaded with varactors, where the capacitance nonlinearity arises from the variable depletion layer width, which depends both on the DC and AC voltages of the propagating wave. An equivalent circuit model of NLTL is discussed analytically, in this article, and different type of solutions are celebrated. The improved extended tanh-function method has been applied successfully to extract the solutions. The obtained solutions are solitary wave solutions, singular periodic solutions, singular soliton solutions, Jacobi elliptic doubly periodic type solutions and Weierstrass elliptic doubly periodic type solutions. It is a very convenient tool to study the propagation of electrical solitons which propagate in the form of voltage waves in nonlinear dispersive media.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

    M. M. El-Borai

  2. Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt

    H. M. El-Owaidy

  3. Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt

    H. M. Ahmed & A. H. Arnous

Authors
  1. M. M. El-Borai
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  2. H. M. El-Owaidy
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  3. H. M. Ahmed
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  4. A. H. Arnous
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Correspondence to A. H. Arnous.

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El-Borai, M.M., El-Owaidy, H.M., Ahmed, H.M. et al. Exact and soliton solutions to nonlinear transmission line model. Nonlinear Dyn 87, 767–773 (2017). https://doi.org/10.1007/s11071-016-3074-9

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  • DOI: https://doi.org/10.1007/s11071-016-3074-9

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