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An exact solution of the Korteweg-de Vries equation with dissipation

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Abstract

By means of the method proposed in the papers [1, 2] we look for solutions of the Korteweg—de Vries equation with dissipation. A new solution is found and expressed by means of the Weierstrass P-function.

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References

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Author notes

  1. M. W. Kalinowski

    Present address: Institute of Philosophy and Sociology, Polish Academy of Sciences, Nowy Świat 72, 00-330, Warszawa, Poland

  2. M. Grundland

    Present address: Department of Physics, Institute of Geophysics, Warsaw University, Pasteura 7, 02-093, Warszawa, Poland

Authors and Affiliations

  1. Warsaw University, Institute of Theoretical Physics, ul. Hoża 69, 00-681, Warszawa, Poland

    M. W. Kalinowski & M. Grundland

Authors
  1. M. W. Kalinowski
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  2. M. Grundland
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Additional information

Partially supported by NSF Grant No. INT 73.20002 A01 formerly GF-41958.

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Kalinowski, M.W., Grundland, M. An exact solution of the Korteweg-de Vries equation with dissipation. Lett Math Phys 5, 61–65 (1981). https://doi.org/10.1007/BF00401828

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  • DOI: https://doi.org/10.1007/BF00401828

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