Abstract
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.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 150, pp. 70–75, 1986.
We thank M. A. Sall' for helpful discussions.
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Lipovskii, V.D., Matveev, V.B. & Smirnov, A.O. Connection between the Kadomtsev-Petviashvili and Johnson equations. J Math Sci 46, 1609–1612 (1989). https://doi.org/10.1007/BF01099192
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DOI: https://doi.org/10.1007/BF01099192