Scattering theory for the Korteweg-De Vries (KdV) equation and its Hamiltonian interpretation

V. S. Buslaev; L. D. Faddeev; L. A. Takhtajan

doi:10.1016/0167-2789(86)90186-7

Scattering theory for the Korteweg-De Vries (KdV) equation and its Hamiltonian interpretation

V. S. Buslaev
, L. D. Faddeev
, L. A. Takhtajan

Mathematics

Steklov Mathematical Institute

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

16 Scopus citations

Abstract

It is shown that the scattering transform for the KdV equation is not canonical in the naive sense. An explanation of this phenomenon is found, and a correct Hamiltonian formulation of the scattering theory is proposed.

Original language	English
Pages (from-to)	255-266
Number of pages	12
Journal	Physica D: Nonlinear Phenomena
Volume	18
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(86)90186-7
State	Published - Jan 1986

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title = "Scattering theory for the Korteweg-De Vries (KdV) equation and its Hamiltonian interpretation",

abstract = "It is shown that the scattering transform for the KdV equation is not canonical in the naive sense. An explanation of this phenomenon is found, and a correct Hamiltonian formulation of the scattering theory is proposed.",

author = "Buslaev, \{V. S.\} and Faddeev, \{L. D.\} and Takhtajan, \{L. A.\}",

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AU - Faddeev, L. D.

AU - Takhtajan, L. A.

PY - 1986/1

Y1 - 1986/1

N2 - It is shown that the scattering transform for the KdV equation is not canonical in the naive sense. An explanation of this phenomenon is found, and a correct Hamiltonian formulation of the scattering theory is proposed.

AB - It is shown that the scattering transform for the KdV equation is not canonical in the naive sense. An explanation of this phenomenon is found, and a correct Hamiltonian formulation of the scattering theory is proposed.

UR - https://www.scopus.com/pages/publications/0011611680

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Scattering theory for the Korteweg-De Vries (KdV) equation and its Hamiltonian interpretation

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