Abstract
In this paper we shall consider a birelaxating model of an active medium where both of the relaxations are described by exponential nuclei, the low-frequency relaxation being negative and a higher frequency one describing the absorption. In such a medium the change of the increment by the damping decrement takes place and under the definite relations between the relaxation frequency and the increment and decrement values, the existence of a steady wave is possible.
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References
Engelbrecht J.K., Khamidullin Ya.N. On the possibility of amplification of nonlinear seismic waves. In: Abstracts, Int. Symp. Nonlinear Seismology, M., 1986, p.74.
Kogan E.Ya., Molevich N.K. Sonic waves in nonequilibrium molecular gas. Izv. VUZov, Fizika, 1986, 29, 7, 53–58 (in Russian).
Malkin A.I., Myagkov N.N. On the possibility of formation of acoustic structures in nonequilibrium chemically active medium. Pis’ma in ZhTF, 1984, 10, 10, 604–607 (in Russian).
Pelinovski E.N., Fridman V.E. Burst instability of nonlinear waves in media with negative viscosity. Prikl.Mat.Mekh., 1974, 38, 6, 991–995 (in Russian).
Reising R., Sansone G., Conti R. Qualitative Theorie nichtlinearer Differentialgleichungen. Roma, Ed. Cremonese, 1963.
Engelbrecht J.K. The evolution equation and the selfsimilarity in wave propagation. In: Contributions to nonlinear mechanics of continuous media. Ed. N.V. Zvolinski et al., Tallinn, Valgus, 1985, 119–131 (in Russian).
Andronov A.A., Vitt A.A., Khaykin S.E. Theory of oscillations. GIFML, M., 1959, 915 (in Russian).
Engelbrecht J., Fridman V., Pelinovski E. Nonlinear Evolution Equations, London, Longman, 1988.
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© 1989 Springer-Verlag Berlin Heidelberg
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Fridman, V.E. (1989). Steady Waves in Active Birelaxating Media. In: Engelbrecht, P.J. (eds) Nonlinear Waves in Active Media. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74789-2_4
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DOI: https://doi.org/10.1007/978-3-642-74789-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51190-8
Online ISBN: 978-3-642-74789-2
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