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Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation) |
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| Authors: | S.V. Manakov P.M. Santini L.A. Takhtajan |
| Affiliation: | L.D. Landau Institute of Theoretical Physics of the Academy of Sciences, Moscow, USSR;Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy;Istituto di Fisica dell''Università, 00185 Rome, Italy;Leningrad Branch of the V.A. Steklov Mathematical Institute of the Academy of Sciences, USSR |
| Abstract: | The asymptotic form of the solutions of the Kadomtsev-Pyatviashvili equation for t → ± ∞ is presented. The reverse problem of reconstructing the solution from its asymptotic form is also solved. |
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