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Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters

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Abstract

We present a natural generalization of Wahlquist's results [1] for the two-dimensional KdV equation generating a large family of explicit solutions depending on functional parameters. This family may be fibered into parts invariant with respect to Darboux transformation and corresponding to different choices of the starting solution.

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References

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  6. Bordag, L.A., and Matveev, V.B., Preprint Karl-Marx-Universität, November (1978).

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, Bâtiment 211, 91 405, Orsay, France

    V. B. Matveev

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  1. V. B. Matveev
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On leave from Leningrad University, U.S.S.R.

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Matveev, V.B. Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters. Lett Math Phys 3, 213–216 (1979). https://doi.org/10.1007/BF00405295

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  • DOI: https://doi.org/10.1007/BF00405295

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