Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation)

S. V. Manakov; P. M. Santini; L. A. Takhtajan

doi:10.1016/0375-9601(80)90044-4

Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation)

S. V. Manakov
, P. M. Santini
, L. A. Takhtajan

Mathematics

Stony Brook University

Landau Inst. for Theoretical Physics
National Institute for Nuclear Physics
University of Rome La Sapienza

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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.

Original language	English
Pages (from-to)	451-454
Number of pages	4
Journal	Physics Letters A
Volume	75
Issue number	6
DOIs	https://doi.org/10.1016/0375-9601(80)90044-4
State	Published - Feb 18 1980

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10.1016/0375-9601(80)90044-4

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title = "Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation)",

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.",

author = "Manakov, \{S. V.\} and Santini, \{P. M.\} and Takhtajan, \{L. A.\}",

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T1 - Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation)

AU - Manakov, S. V.

AU - Santini, P. M.

AU - Takhtajan, L. A.

PY - 1980/2/18

Y1 - 1980/2/18

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0039847913

U2 - 10.1016/0375-9601(80)90044-4

DO - 10.1016/0375-9601(80)90044-4

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VL - 75

SP - 451

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JO - Physics Letters A

JF - Physics Letters A

IS - 6

ER -

Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation)

Abstract

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