Geodesic
On localized solutions of the Davey–Stewartson 1 equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 395-398 
A. V. Yurov. On localized solutions of the Davey–Stewartson 1 equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 395-398. http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The possibility of constructing algebraically and exponentially localized solutions of the Davey–Stewartson 1 equations, by means of the Bäcklund explicit reversible autotransformations is shown.

[1] A. V. Yurov, TMF, 109:3 (1996), 338 | DOI | MR | Zbl

[2] A. N. Leznov, A. B. Shabat, R. I. Yamilov, Phys. Lett. A, 174 (1993), 397 | DOI | MR

[3] G. P. Dzhordzhadze, TMF, 41:1 (1979), 33 | MR | Zbl

[4] M. Boiti, J. J.-P. Leon, L. Martina, F. Pempinelli, Phys. Lett., 132 (1988), 432 ; Montpellier preprints PM/88-40 ; PM/88-59 | DOI | MR

[5] M. Boiti, L. Martina, O. K. Pashaev, F. Pempinelli, Dynamics of Multidimensional Solitons, Lecce preprint. June, 1991 | MR

[6] J. Hietarinta, R. Hirota, Phys. Lett. A, 145 (1990), 237 | DOI | MR

[7] A. S. Fokas, P. M. Santini, Phys. Rev. Lett., 63 (1989), 1329 ; Clarkson University preprint INS#121. March, 1989 | DOI | MR