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.
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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).
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.
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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
- Wave Equation
- Active Medium
- Propagation Velocity
- Concentrate Solution
- Propagation Frequency