Inverse scattering transform for the perturbed 1-soliton potential of the heat equation

M. Boiti; F. Pempinelli; A. K. Pogrebkov; B. Prinari

doi:10.1016/S0375-9601(01)00366-8

Inverse scattering transform for the perturbed 1-soliton potential of the heat equation

M. Boiti
, F. Pempinelli
, A. K. Pogrebkov
, B. Prinari

Mathematics

University at Buffalo

National Institute for Nuclear Physics
Steklov Mathematical Institute of RAS

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

10 Scopus citations

Abstract

Inverse scattering theory of the heat equation with potential being a perturbation of the one-soliton potential by means of a decaying two-dimensional function is presented. Modification of the Jost solutions and scattering data are given.

Original language	English
Pages (from-to)	307-311
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	285
Issue number	5-6
DOIs	https://doi.org/10.1016/S0375-9601(01)00366-8
State	Published - Jul 9 2001

Keywords

Inverse scattering
Solitons

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10.1016/S0375-9601(01)00366-8

Cite this

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title = "Inverse scattering transform for the perturbed 1-soliton potential of the heat equation",

abstract = "Inverse scattering theory of the heat equation with potential being a perturbation of the one-soliton potential by means of a decaying two-dimensional function is presented. Modification of the Jost solutions and scattering data are given.",

keywords = "Inverse scattering, Solitons",

author = "M. Boiti and F. Pempinelli and Pogrebkov, \{A. K.\} and B. Prinari",

year = "2001",

month = jul,

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doi = "10.1016/S0375-9601(01)00366-8",

language = "English",

volume = "285",

pages = "307--311",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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publisher = "Elsevier B.V.",

number = "5-6",

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T1 - Inverse scattering transform for the perturbed 1-soliton potential of the heat equation

AU - Boiti, M.

AU - Pempinelli, F.

AU - Pogrebkov, A. K.

AU - Prinari, B.

PY - 2001/7/9

Y1 - 2001/7/9

N2 - Inverse scattering theory of the heat equation with potential being a perturbation of the one-soliton potential by means of a decaying two-dimensional function is presented. Modification of the Jost solutions and scattering data are given.

AB - Inverse scattering theory of the heat equation with potential being a perturbation of the one-soliton potential by means of a decaying two-dimensional function is presented. Modification of the Jost solutions and scattering data are given.

KW - Inverse scattering

KW - Solitons

UR - https://www.scopus.com/pages/publications/0035832881

U2 - 10.1016/S0375-9601(01)00366-8

DO - 10.1016/S0375-9601(01)00366-8

M3 - Article

SN - 0375-9601

VL - 285

SP - 307

EP - 311

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Inverse scattering transform for the perturbed 1-soliton potential of the heat equation

Abstract

Keywords

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