Geodesic
On nonsolution structure of scattering data under perturbation of two-dimensional soliton for Davey–Stewartson equation II
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 200-208 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Asymptotics of the scattering data is constructed for Davey–Stewartson II equation in the case of perturbation of soliton. It is shown that the scattering data of the perturbed problem have a nonsoliton structure. 
@article{TMF_1996_106_2_a1,
     author = {R. R. Gadyl'shin and O. M. Kiselev},
     title = {On nonsolution structure of scattering data under perturbation of two-dimensional soliton for {Davey{\textendash}Stewartson} {equation~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {200--208},
     year = {1996},
     volume = {106},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a1/}
}
TY  - JOUR
AU  - R. R. Gadyl'shin
AU  - O. M. Kiselev
TI  - On nonsolution structure of scattering data under perturbation of two-dimensional soliton for Davey–Stewartson equation II
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1996
SP  - 200
EP  - 208
VL  - 106
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a1/
LA  - ru
ID  - TMF_1996_106_2_a1
ER  - 
%0 Journal Article
%A R. R. Gadyl'shin
%A O. M. Kiselev
%T On nonsolution structure of scattering data under perturbation of two-dimensional soliton for Davey–Stewartson equation II
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1996
%P 200-208
%V 106
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a1/
%G ru
%F TMF_1996_106_2_a1
R. R. Gadyl'shin; O. M. Kiselev. On nonsolution structure of scattering data under perturbation of two-dimensional soliton for Davey–Stewartson equation II. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 200-208. http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a1/

[1] Zakharov V. E., Shabat A. B., Funkts. analiz i ego prilozh., 8:3 (1974), 43–53 | MR | Zbl

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

[3] Ablowitz M. J., Segur H., Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, 1981 | MR | Zbl

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

[5] Arkadiev V. A., Pogrebkov A. K., Polivanov M. C., Physica D, 36 (1989), 189–197 | DOI | MR | Zbl

[6] Kaup D. J., SIAM J. Appl. Math., 31 (1976), 121–133 | DOI | MR | Zbl

[7] Karpman V. I., Maslov E. M., ZhETF, 73 (1977), 537–559 | MR

[8] McLaughlin D. W., Scott A. S., Phys. Rev. A, 18 (1977), 1652–1697 | DOI

[9] Maslov E. M., TMF, 42 (1980), 362–373 | MR

[10] Maslov V. P., Omelyanov G. A., UMN, 36:3 (1981), 63–126 | MR | Zbl

[11] Kivshar Y. S., Malomed B. A., Rev. Mod. Phys., 61:4 (1989), 763–915 | DOI

[12] Kalyakin L. A., TMF, 92 (1992), 62–77 | MR

[13] Kiselev O. M., TMF, 93 (1992), 39–48 | MR | Zbl

[14] Kadomtsev B. B., Petviashvili V. I., DAN SSSR, 192 (1970), 753 | Zbl

[15] Bordag L. A., Its A. R., Matveev V. B., Zakharov V. E., Phys. Lett. A, 63:3 (1979), 205

[16] Pelinovskii D. E., Stepanyants Yu. A., ZhETF, 104 (1993), 3387–3400

[17] Satsuma J., Ablowotz M. J., J. Math. Phys., 20 (1979), 1496 | DOI | MR | Zbl

[18] Sung L. Y., Fokas A. S., Inverse problem in multidimensions, Preprint No 98, Institute for nonlinear studies, Clarkson University, Potsdam, NY, 1990 | MR

[19] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1988 | MR

[20] Kulish P. P., Lipovskii V. D., Zap. nauchn. semin. LOMI, 161, 1987, 54–71