Abstract
In the example of the equations of the inhomogeneous isotrophic theory of elasticity and of considerations of the longitudinal component of the displacement vector, a scheme is proposed for determining the successive approximations in the asymptotic expansion of the space-time Gaussian beam method.
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Literature cited
V. M. Babich, “The radial method of calculating the strength of wave fronts,” Dokl. Akad. Nauk SSSR,110, No. 3, 355–357 (1957).
V. M. Babich, V. S. Buldyrev, and I. A. Molotkov, The Space-Time Beam Method: Linear and Nonlinear Waves [in Russian], Leningrad (1985).
N. Ya. Kirpichnikov, and M. M. Popov, “Reflection of space-time radial amplitudes from a moving boundary,” in: Mathematical Questions in the Theory of Wave Propagations. 13 [in Russian], Zapisk Nauchn. Semin. LOMI,128, Leningrad, 72–88 (1983).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 104–112, 1988.
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Kirpichnikova, N.Y. Methods of calculating further approximations in the asymptotic space-time Gaussian beam method. J Math Sci 55, 1718–1724 (1991). https://doi.org/10.1007/BF01098210
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DOI: https://doi.org/10.1007/BF01098210