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On the asymptotics of multidimensional linear wave packets : Reference solutions. / Gnevyshev, V. G.; Badulin, S. I.

In: Moscow University Physics Bulletin, Vol. 72, No. 4, 01.07.2017, p. 415-423.

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Harvard

Gnevyshev, VG & Badulin, SI 2017, 'On the asymptotics of multidimensional linear wave packets: Reference solutions', Moscow University Physics Bulletin, vol. 72, no. 4, pp. 415-423. https://doi.org/10.3103/S0027134917040075

APA

Gnevyshev, V. G., & Badulin, S. I. (2017). On the asymptotics of multidimensional linear wave packets: Reference solutions. Moscow University Physics Bulletin, 72(4), 415-423. https://doi.org/10.3103/S0027134917040075

Vancouver

Gnevyshev VG, Badulin SI. On the asymptotics of multidimensional linear wave packets: Reference solutions. Moscow University Physics Bulletin. 2017 Jul 1;72(4):415-423. doi: 10.3103/S0027134917040075

Author

Gnevyshev, V. G. ; Badulin, S. I. / On the asymptotics of multidimensional linear wave packets : Reference solutions. In: Moscow University Physics Bulletin. 2017 ; Vol. 72, No. 4. pp. 415-423.

BibTeX

@article{5c95547954264f3e8d89b527fbd73791,
title = "On the asymptotics of multidimensional linear wave packets: Reference solutions",
abstract = "The classic problem of linear wave-packet propagation in a dispersive medium is considered. Asymptotic equations of the Cauchy problem for two-dimensional Gaussian wave packets are constructed in terms of Fourier integrals. These asymptotic solutions are regular at the caustics and describe new physical features of wave-packet propagation: rotation in space and formation of a wave front with anomalously slow dispersion (quasi-dispersive).",
keywords = "linear waves, method of stationary phase, method of steepest descent, saddlepoint method, wave dispersion, wave packet dispersion",
author = "Gnevyshev, {V. G.} and Badulin, {S. I.}",
year = "2017",
month = jul,
day = "1",
doi = "10.3103/S0027134917040075",
language = "English",
volume = "72",
pages = "415--423",
journal = "Moscow University Physics Bulletin (English Translation of Vestnik Moskovskogo Universiteta, Fizika)",
issn = "0027-1349",
publisher = "Allerton Press Inc.",
number = "4",

}

RIS

TY - JOUR

T1 - On the asymptotics of multidimensional linear wave packets

T2 - Reference solutions

AU - Gnevyshev, V. G.

AU - Badulin, S. I.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - The classic problem of linear wave-packet propagation in a dispersive medium is considered. Asymptotic equations of the Cauchy problem for two-dimensional Gaussian wave packets are constructed in terms of Fourier integrals. These asymptotic solutions are regular at the caustics and describe new physical features of wave-packet propagation: rotation in space and formation of a wave front with anomalously slow dispersion (quasi-dispersive).

AB - The classic problem of linear wave-packet propagation in a dispersive medium is considered. Asymptotic equations of the Cauchy problem for two-dimensional Gaussian wave packets are constructed in terms of Fourier integrals. These asymptotic solutions are regular at the caustics and describe new physical features of wave-packet propagation: rotation in space and formation of a wave front with anomalously slow dispersion (quasi-dispersive).

KW - linear waves

KW - method of stationary phase

KW - method of steepest descent

KW - saddlepoint method

KW - wave dispersion

KW - wave packet dispersion

UR - http://www.scopus.com/inward/record.url?scp=85029782504&partnerID=8YFLogxK

U2 - 10.3103/S0027134917040075

DO - 10.3103/S0027134917040075

M3 - Article

AN - SCOPUS:85029782504

VL - 72

SP - 415

EP - 423

JO - Moscow University Physics Bulletin (English Translation of Vestnik Moskovskogo Universiteta, Fizika)

JF - Moscow University Physics Bulletin (English Translation of Vestnik Moskovskogo Universiteta, Fizika)

SN - 0027-1349

IS - 4

ER -

ID: 9909640