Abstract
In the present work we use the example of the one-dimensional wave equation with a small deviating argument to illustrate the constructions of the author's previous paper “‘Quasiphoton’ in an active medium”. The significance of the concept of “propagation velocity” introduced there, as well as the relation between the change in the “propagation frequency” along a ray and the parameters characterizing the concentrated solution, are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
Ya. V. Kurylev, “‘Quasiphoton’ in an active medium,” in: Mathematical Questions of the Theory of Wave Propagation, 15, J. Sov. Math.,38, No. 1 (1987).
V. M. Babich, V. S. Buldyrev, and I. A. Molotkov, The Spatio-Temporal Ray Method. Linear and Nonlinear Waves [in Russian], Leningrad (1985).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 136–142, 1986.
In conclusion, the author wants to express his sincrere gratitude to I. A. Molotkov for suggesting this problem, and to the participants of the diffraction seminar of LGU-LOMI for stimulating discussions.
Rights and permissions
About this article
Cite this article
Kurylev, Y.V. “Quasiphoton” in an active medium. II. An example: The one-dimensional wave equation with a small deviating argument. J Math Sci 50, 1766–1770 (1990). https://doi.org/10.1007/BF01097107
Issue Date:
DOI: https://doi.org/10.1007/BF01097107