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