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Article

A Deformed Wave Equation and Huygens’ Principle

Department of Mathematical Sciences, College of Science, United Arab Emirates University, P. O. Box No. 15551, Al Ain, Abu Dhabi, UAE
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Mathematics 2020, 8(1), 10; https://doi.org/10.3390/math8010010
Received: 1 October 2019 / Revised: 31 October 2019 / Accepted: 4 November 2019 / Published: 19 December 2019
(This article belongs to the Special Issue Mathematical Physics II)
We consider a deformed wave equation where the Laplacian operator has been replaced by a differential-difference operator.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 s l ( 2 , R ) . View Full-Text
Keywords: generalized Fourier transform; deformed wave equation; Huygens’ principle; representation of ??(2,ℝ) generalized Fourier transform; deformed wave equation; Huygens’ principle; representation of ??(2,ℝ)
MDPI and ACS Style

Ben Saïd, S.; al-Blooshi, S.; al-Kaabi, M.; al-Mehrzi, A.; al-Saeedi, F. A Deformed Wave Equation and Huygens’ Principle. Mathematics 2020, 8, 10. https://doi.org/10.3390/math8010010

AMA Style

Ben Saïd S, al-Blooshi S, al-Kaabi M, al-Mehrzi A, al-Saeedi F. A Deformed Wave Equation and Huygens’ Principle. Mathematics. 2020; 8(1):10. https://doi.org/10.3390/math8010010

Chicago/Turabian Style

Ben Saïd, Salem; al-Blooshi, Sara; al-Kaabi, Maryam; al-Mehrzi, Aisha; al-Saeedi, Fatima. 2020. "A Deformed Wave Equation and Huygens’ Principle" Mathematics 8, no. 1: 10. https://doi.org/10.3390/math8010010

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