Construction of a transformation operator

Amin Boumenir

doi:10.1063/1.531264

Construction of a transformation operator

Amin Boumenir^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

3 Scopus citations

Abstract

We shall be concerned with the explicit construction of the kernel of transformation operator used in the scattering theory associated with the Gelfand-Levitan-Marchenko equations. The kernel of the transmutation is well known to play an important role in the inverse scattering theory, and nonlinear integrable systems such as KdV equations. Our method shall use operational calculus.

Original language	English
Pages (from-to)	5305-5309
Number of pages	5
Journal	Journal of Mathematical Physics
Volume	36
Issue number	10
DOIs	https://doi.org/10.1063/1.531264
State	Published - 1995

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.531264

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abstract = "We shall be concerned with the explicit construction of the kernel of transformation operator used in the scattering theory associated with the Gelfand-Levitan-Marchenko equations. The kernel of the transmutation is well known to play an important role in the inverse scattering theory, and nonlinear integrable systems such as KdV equations. Our method shall use operational calculus.",

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AB - We shall be concerned with the explicit construction of the kernel of transformation operator used in the scattering theory associated with the Gelfand-Levitan-Marchenko equations. The kernel of the transmutation is well known to play an important role in the inverse scattering theory, and nonlinear integrable systems such as KdV equations. Our method shall use operational calculus.

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DO - 10.1063/1.531264

M3 - Article

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Construction of a transformation operator

Abstract

ASJC Scopus subject areas

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