Inverse scattering method for three-dimensional theory of three-wave resonance interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 18-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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The inverse scattering method is used to investigate the system of equations of three-wave resonance interaction in three-dimensional space. The scattering problem is considered, and trace identities and reductions are found.
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V. G. Bakurov. Inverse scattering method for three-dimensional theory of three-wave resonance interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 18-30. http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a1/

[1] Zakharov V. E., Izv. vuzov. Radiotekhnika, 17:2 (1974), 431–450

[2] Zakharov V. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov: metod obratnoi zadachi, Nauka, M., 1980 | MR

[3] Fokas A. S., Ablowitz M. J., J. Math. Phys., 25:8 (1984), 2494–2505 | DOI | MR | Zbl

[4] Fokas A. S., Ablowitz M. J., Stud. Appl. Math., 69:2 (1983), 211–228 | DOI | MR | Zbl

[5] Blombergen N., Nelineinaya optika, Mir, M., 1966

[6] Galeev A. A., Sagdeev R. Z., “Nelineinaya teoriya plazmy”, Voprosy teorii plazmy, no. 7, Atomizdat, M., 1971, 3–145

[7] Kadomtsev B. B., Karpman V. I., UFN, 103:2 (1971), 193–212 | DOI | MR

[8] Zakharov V. E., DAN SSSR, 229:4 (1976), 1314–1318

[9] Kaup D. J., Physica, 1D:1 (1980), 45–65 | MR

[10] Zakharov V. E., Manakov S. V., ZhETF, 69:5 (1975), 1654–1673 | MR

[11] Manakov S. V., Physica, 3D:1–2 (1981), 420–427 | MR | Zbl

[12] Zakharov V. E., Manakov S. V., Funkts. analiz i ego prilozh., 19:2 (1985), 11–25 | MR | Zbl