Journal of Soviet Mathematics

, Volume 46, Issue 1, pp 1609–1612

Connection between the Kadomtsev-Petviashvili and Johnson equations

  • V. D. Lipovskii
  • V. B. Matveev
  • A. O. Smirnov

DOI: 10.1007/BF01099192

Cite this article as:
Lipovskii, V.D., Matveev, V.B. & Smirnov, A.O. J Math Sci (1989) 46: 1609. doi:10.1007/BF01099192


The equivalence of the Kadomtsev-Petviashvili and Johnson equations is established in the class of rapidly decreasing Cauchy data. As an illustration of the isomorphism cited the Hamiltonian structure of the Johnson equation is studied.

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • V. D. Lipovskii
  • V. B. Matveev
  • A. O. Smirnov

There are no affiliations available

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