Connection between the Kadomtsev-Petviashvili and Johnson equations
- Cite this article as:
- Lipovskii, V.D., Matveev, V.B. & Smirnov, A.O. J Math Sci (1989) 46: 1609. doi:10.1007/BF01099192
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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.