Abstract
By means of the ray method with a complex eikonal, formal asymptotic solutions are constructed of a system of equations of second order on a smooth Riemannian manifold which are concentrated in a neighborhood of a fixed ray.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 104, pp. 170–179, 1981.
The author wishes to thank V. M. Babich and V. S. Buldyrev for their attention to the work.
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Nomofilov, V.E. Asymptotic solutions of a system of equations of second order which are concentrated in a neighborhood of a ray. J Math Sci 20, 1854–1860 (1982). https://doi.org/10.1007/BF01119370
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DOI: https://doi.org/10.1007/BF01119370