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Impact of the Wavefront on a Nonlinear Wave in a Dissipative Medium

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Abstract

A method for generating solutions of the Burgers equation, which describe the interaction of waves in a nonlinear dissipative medium with a linearly growing wavefront, is proposed. The exact solutions describing these interactions and symmetry properties of the equation are used. It is shown that the rising wavefront is able to compete with the dissipation and compress the signal in time. On the contrary, the wavefront with the decreasing steepness “stretches” the signal.

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Funding

This study was supported by the Russian Foundation for Basic Research, project no. 19-29-06048.

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Authors and Affiliations

  1. Moscow State University, 119991, Moscow, Russia

    V. A. Bazylenko &  O. V. Rudenko

  2. Prokhorov General Physics Institute, Russian Academy of Sciences, 119333, Moscow, Russia

    O. V. Rudenko

  3. Institute of the Physics of the Earth, Russian Academy of Sciences, 123995, Moscow, Russia

    O. V. Rudenko

Authors
  1. V. A. Bazylenko
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  2. O. V. Rudenko
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Correspondence to V. A. Bazylenko or O. V. Rudenko.

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The authors of this work declare that they have no conflicts of interest.

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Translated by E. Bondareva

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Bazylenko, V.A., Rudenko, O.V. Impact of the Wavefront on a Nonlinear Wave in a Dissipative Medium. Dokl. Phys. 68, 141–143 (2023). https://doi.org/10.1134/S1028335823050038

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  • DOI: https://doi.org/10.1134/S1028335823050038

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