A deformed wave equation and huygens' principle

Salem Ben Said; Sara al-Blooshi; Maryam al-Kaabi; Aisha al-Mehrzi; Fatima al-Saeedi

doi:10.3390/MATH8010010

A deformed wave equation and huygens' principle

Salem Ben Said
, Sara al-Blooshi
, Maryam al-Kaabi
, Aisha al-Mehrzi
, Fatima al-Saeedi

Department of Mathematical Sciences

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

Abstract

We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator. We prove that this equation does not satisfy Huygens' principle. Our approach is based on the representation theory of the Lie algebra sl(2, R).

Original language	English
Article number	10
Journal	Mathematics
Volume	8
Issue number	1
DOIs	https://doi.org/10.3390/MATH8010010
Publication status	Published - Jan 1 2020

Keywords

Deformed wave equation
Generalized Fourier transform
Huygens' principle
R)
Representation of sl(2

ASJC Scopus subject areas

General Mathematics

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10.3390/MATH8010010

Cite this

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title = "A deformed wave equation and huygens' principle",

abstract = "We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator. We prove that this equation does not satisfy Huygens' principle. Our approach is based on the representation theory of the Lie algebra sl(2, R).",

keywords = "Deformed wave equation, Generalized Fourier transform, Huygens' principle, R), Representation of sl(2",

author = "Said, \{Salem Ben\} and Sara al-Blooshi and Maryam al-Kaabi and Aisha al-Mehrzi and Fatima al-Saeedi",

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AU - Said, Salem Ben

AU - al-Blooshi, Sara

AU - al-Kaabi, Maryam

AU - al-Mehrzi, Aisha

AU - al-Saeedi, Fatima

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator. We prove that this equation does not satisfy Huygens' principle. Our approach is based on the representation theory of the Lie algebra sl(2, R).

AB - We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator. We prove that this equation does not satisfy Huygens' principle. Our approach is based on the representation theory of the Lie algebra sl(2, R).

KW - Deformed wave equation

KW - Generalized Fourier transform

KW - Huygens' principle

KW - R)

KW - Representation of sl(2

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A deformed wave equation and huygens' principle

Abstract

Keywords

ASJC Scopus subject areas

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