On the two-dimensional Zakharov–Shabat problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 1, pp. 155-159
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Inverse scattering problem which is a natural two-dimensional analogue of the Zakharov–Shabat problem is solved. Equations are considered which are integrable with the aid of this problem.
[1] Zakharov V. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov: Metod obratnoi zadachi, Nauka, M., 1980 | MR
[2] Bogdanov L. V., TMF, 70:2 (1987), 309–314 | MR | Zbl
[3] Ablovitz M. J., Bar Yaacov D., Focas A. S., Studies Appl. Math., 69 (1983), 135–143 | DOI | MR
[4] Manakov S. V., Physics D, 3 (1981), 420–427 | DOI | MR | Zbl
[5] Zakharov V. E., Manakov S. V., Funkts. analiz i ego prilozh., 19:2 (1985), 11–25 | MR
[6] Grinevich P. G., Manakov S. V., Funkts. analiz i ego prilozh., 20:2 (1986), 14–24 | MR | Zbl