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Transverse compactlike pulse signals in a two-dimensional nonlinear electrical network.

Fabien Kenmogne1, David Yemélé2, Jacques Kengne3

  • 1Laboratory of Modelling and Simulation in Engineering and Biological Physics, Faculty of Science, University of Yaoundé I, Po Box 812, Yaoundé, Cameroon.

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Summary

Compactlike pulse signals can propagate in nonlinear electrical transmission networks. Dissipative effects on these nonlinear pulse dynamics were studied, confirming analytical findings with numerical simulations.

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Area of Science:

  • Nonlinear Dynamics
  • Electrical Engineering
  • Condensed Matter Physics

Background:

  • Nonlinear electrical transmission networks are crucial for signal processing.
  • Understanding pulse propagation in these networks is essential for developing advanced electronic devices.
  • Previous studies have explored solitary wave solutions in similar systems.

Purpose of the Study:

  • To investigate the propagation of compactlike pulse signals in a 2D nonlinear electrical transmission network.
  • To analyze the influence of nonlinear resistances and dissipative effects on pulse dynamics.
  • To validate analytical models with numerical simulations.

Main Methods:

  • Derivation of model equations for the electrical network.
  • Reduction of equations to a 2D nonlinear Burgers equation.
  • Analytical and numerical investigation of compactlike pulse solitary wave solutions.
  • Study of dissipative effects on pulse propagation.

Main Results:

  • The 2D nonlinear Burgers equation admits cusp and compactlike pulse solitary waves.
  • Compactlike pulse propagation is dependent on network parameters and nonlinearity coefficients.
  • Dissipative effects were analyzed, showing their impact on pulse dynamics.
  • Numerical simulations confirmed the accuracy of the analytical predictions.

Conclusions:

  • Compactlike pulses can propagate in the studied 2D nonlinear electrical transmission network.
  • The network's physical parameters critically determine the feasibility of compactlike pulse propagation.
  • The study provides a comprehensive understanding of nonlinear pulse dynamics in such systems, validated by numerical evidence.