Multiple travelling wave solutions for electrical transmission line model

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• 作者：A. Sardar ; S. M. Husnine ; S. T. R. Rizvi ; M. Younis ; K. Ali
• 关键词：The $$(G^{\prime }/G)$$ ( G - G ) ; expansion method ; Tanh method ; Sine–cosine method ; Travelling wave solutions ; Transmission line
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：82
• 期：3
• 页码：1317-1324
• 全文大小：457 KB
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• 作者单位：A. Sardar (1)
  S. M. Husnine (1)
  S. T. R. Rizvi (2)
  M. Younis (3)
  K. Ali (2)
  
  1. Department of Mathematics, National University of Computer and Emerging Sciences, Lahore, Pakistan
  2. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan
  3. Centre for Undergraduate Studies, University of Punjab, Lahore, 54590, Pakistan
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

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. Keywords The \((G^{\prime }/G)\)-expansion method Tanh method Sine–cosine method Travelling wave solutions Transmission line