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Curved asymptotic solitons of the Kadomtsev-Petviashvili equation

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Abstract

We prove the existence of solutions of the Kadomtsev—Petviashvili equation whose temporal asymptotics can be represented as a superposition of curved solitons.

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References

  1. V. E. Zakharov and A. B. Shabat,Funktsional. Analiz i Ego Prilozhen.,8, 43 (1974).

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  2. E. Ya. Khruslov,Mat. Sb.,99, 261 (1976).

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Authors
  1. I. A. Anders
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  2. V. P. Kotlyarov
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  3. E. Ya. Khruslov
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Additional information

Mathematics Department of the Physicotechnical Institute of Low Temperatures, Ukrainian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 1, pp. 27–35, April, 1994.

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Anders, I.A., Kotlyarov, V.P. & Khruslov, E.Y. Curved asymptotic solitons of the Kadomtsev-Petviashvili equation. Theor Math Phys 99, 402–408 (1994). https://doi.org/10.1007/BF01018794

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  • DOI: https://doi.org/10.1007/BF01018794

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