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Non-linear wave propagation in a hot-electron plasma

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Summary

The theory of relatively undistorted waves is used to study the finite-amplitude waves in a hot-electron model of plasma. A simple asymptotic expansion accounting for the non-linear effects has been used in the small amplitude limit to calculate the first and the second order solutions. The speed of propagation and the location of weak shocks has been determined through solutions of high-frequency waves.

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Author notes

  1. V. D. Sharma

    Present address: Department of Mathematics, I.I.T., Bombay, India

  2. R. R. Sharma & B. D. Pandey

    Present address: Department of Mathematics, The Ohio State University, 43302, Marion, OH, USA

  3. N. Gupta

    Present address: Department of Applied Mathematics, I.T., BHU, 221 005, Varanasi, India

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    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 wave propagation in a hot-electron plasma. Acta Mechanica 88, 141–152 (1991). https://doi.org/10.1007/BF01177092

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    • DOI: https://doi.org/10.1007/BF01177092

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