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Generalized functional form of the two-soliton solutions of the Korteweg-de-Vries equation

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Il Nuovo Cimento B (1971-1996)

Summary

We are looking for 2-soliton solutions of polynomial type for a particular form of the Korteweg-de-Vries equation. An interpretation of the results gives an invariance property of the solutions given by Hirota.

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References

  1. A. C. Scott, F. Y. Chu andD. W. McLaughlin Proc. IEEE,61, 1443 (1973).

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  2. R. Hirota:Phys. Rev. Lett,27, 1192 (1971).

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  3. R. Hirota:Prog. Theor. Phys.,52, 1498 (1977).

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Authors and Affiliations

  1. Laboratoire de Gravitation et Cosmologie Relativistes, Université Pierre et Marie Curie, CNRS/URA 769, Tour 22/12, Boîte Courrier 142 4, place Jussieu, 75252, Paris Cedex, France

    B. Léauté, G. Marcilhacy & T. Melliti

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  1. B. Léauté
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  2. G. Marcilhacy
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  3. T. Melliti
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Léauté, B., Marcilhacy, G. & Melliti, T. Generalized functional form of the two-soliton solutions of the Korteweg-de-Vries equation. Nuov Cim B 109, 1283–1289 (1994). https://doi.org/10.1007/BF02722839

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  • DOI: https://doi.org/10.1007/BF02722839

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