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Highly localized solutions of the wave equation. / Kiselev, Aleksei P.; Perel, Maria V.

In: Journal of Mathematical Physics, Vol. 41, No. 4, 04.2000, p. 1934-1955.

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

Harvard

Kiselev, AP & Perel, MV 2000, 'Highly localized solutions of the wave equation', Journal of Mathematical Physics, vol. 41, no. 4, pp. 1934-1955. https://doi.org/10.1063/1.533219

APA

Kiselev, A. P., & Perel, M. V. (2000). Highly localized solutions of the wave equation. Journal of Mathematical Physics, 41(4), 1934-1955. https://doi.org/10.1063/1.533219

Vancouver

Kiselev AP, Perel MV. Highly localized solutions of the wave equation. Journal of Mathematical Physics. 2000 Apr;41(4):1934-1955. https://doi.org/10.1063/1.533219

Author

Kiselev, Aleksei P. ; Perel, Maria V. / Highly localized solutions of the wave equation. In: Journal of Mathematical Physics. 2000 ; Vol. 41, No. 4. pp. 1934-1955.

BibTeX

@article{9bdac36db81b49d98e9084ec9dc91828,
title = "Highly localized solutions of the wave equation",
abstract = "Simple explicit solutions of the linear wave equation in three dimensions are presented which describe wave packets exponentially localized near a point moving with the wave speed. For large values of a certain free parameter these new solutions are localized in Gaussian manner with respect to longitudinal and transverse variables and time. This agrees with considerations by Babich-Ulin and Ralston who have presented an asymptotic description of solutions exhibiting such local behavior. Global estimates and large-time asymptotics of these solutions are given.",
author = "Kiselev, {Aleksei P.} and Perel, {Maria V.}",
year = "2000",
month = apr,
doi = "10.1063/1.533219",
language = "English",
volume = "41",
pages = "1934--1955",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "4",

}

RIS

TY - JOUR

T1 - Highly localized solutions of the wave equation

AU - Kiselev, Aleksei P.

AU - Perel, Maria V.

PY - 2000/4

Y1 - 2000/4

N2 - Simple explicit solutions of the linear wave equation in three dimensions are presented which describe wave packets exponentially localized near a point moving with the wave speed. For large values of a certain free parameter these new solutions are localized in Gaussian manner with respect to longitudinal and transverse variables and time. This agrees with considerations by Babich-Ulin and Ralston who have presented an asymptotic description of solutions exhibiting such local behavior. Global estimates and large-time asymptotics of these solutions are given.

AB - Simple explicit solutions of the linear wave equation in three dimensions are presented which describe wave packets exponentially localized near a point moving with the wave speed. For large values of a certain free parameter these new solutions are localized in Gaussian manner with respect to longitudinal and transverse variables and time. This agrees with considerations by Babich-Ulin and Ralston who have presented an asymptotic description of solutions exhibiting such local behavior. Global estimates and large-time asymptotics of these solutions are given.

UR - http://www.scopus.com/inward/record.url?scp=0034347146&partnerID=8YFLogxK

U2 - 10.1063/1.533219

DO - 10.1063/1.533219

M3 - Article

AN - SCOPUS:0034347146

VL - 41

SP - 1934

EP - 1955

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

ER -

ID: 53453425