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Non-linear analysis of a traffic flow

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Abstract

A nonlinear mathematical model, which takes into account the dissipative mechanism, is used to describe the signal transmission in a traffic flow. It is shown that dissipative mechanisms, under certain conditions, may produce attenuation effects against the typical nonlinear steepening of waves. An asymptotic analysis is carried out to discuss wave features when the governing hyperbolic system of equations is objective to different kinds of approximations.

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 43302, Marion, OH, USA

    V. D. Sharma, R. R. Sharma, B. D. Pandey & N. Gupta

  2. Dept of Mathematics, I.I.T., Bombay, India

    V. D. Sharma

  3. Dept of Applied Mathematics, I.T., BHU, 221005, Varanasi, India

    N. Gupta

Authors
  1. V. D. Sharma
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  2. R. R. Sharma
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  3. B. D. Pandey
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  4. N. Gupta
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Sharma, V.D., Sharma, R.R., Pandey, B.D. et al. Non-linear analysis of a traffic flow. Z. angew. Math. Phys. 40, 828–837 (1989). https://doi.org/10.1007/BF00945805

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  • DOI: https://doi.org/10.1007/BF00945805

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