Geodesic
Resonance layers in the interactions of rapidly oscillating wave fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 375-382 Cet article a éte moissonné depuis la source Math-Net.Ru

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Effects pertaining to weak resonance interactions of rapidly oscillating wave fields are investigated. In the general case, there exist narrow transient layers where the wave field dynamics can be described in terms of the nonlinear Schrödinger equation. 
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     author = {S. G. Glebov},
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S. G. Glebov. Resonance layers in the interactions of rapidly oscillating wave fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 375-382. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a6/

[1] M. Ablowitz, A. Funk, A. Newell, Stud. Appl. Math., 52 (1973), 51–74 | DOI | Zbl

[2] J. Kevorkian, SIAM J. Appl. Math., 20 (1971), 364–373 | DOI | Zbl

[3] L. Rubenfeld, Stud. Appl. Math., 57 (1977), 77–92 | DOI | MR | Zbl

[4] J. C. Neu, SIAM J. Appl. Math., 43:1 (1983), 141–156 | DOI | MR | Zbl

[5] S. Yu. Dobrokhotov, P. N. Zhevandrov, V. M. Kuzmina, Prikl. matem. i mekh., 51:5 (1987), 798–806 | MR | Zbl

[6] L. A. Kalyakin, “Metod VKB v slabo nelineinoi zadache s lokalnym rezonansom”, Asimptoticheskie metody resheniya zadach matematicheskoi fiziki, eds. V. Yu. Novokshenov i dr., Izd-vo BNTs UrO AN SSSR, Ufa, 1989, 56–69 | MR

[7] L. A. Kalyakin, Mat. zametki, 44:5 (1988), 697–699 | MR | Zbl

[8] S. G. Glebov, Diff. uravneniya, 31:8 (1995), 1402–1408 | MR | Zbl

[9] S. G. Glebov, “Teorema suschestvovaniya dlya $N$-mernogo nelineinogo uravneniya Shredingera”, Asimptotiki i simmetrii v nelineinykh dinamicheskikh sistemakh, ed. L. A. Kalyakin, Izd-vo Instituta matematiki s Vychislitelnym tsentrom RAN, Ufa, 1995, 31–37

[10] L. A. Kalyakin, S. G. Glebov, Mat. zametki, 56 (1994), 32–40 | MR | Zbl