Asymptotic soliton-like solutions of the nonlinear Schrd̈inger equation with variable coefficients
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 42-53 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Asymptotic soliton-like solutions of the nonlinear Schrödinger equation are constructed. Necessary and sufficient conditions for the existence of such solutions are found.
@article{TMF_1983_56_1_a3,
     author = {V. Yu. Subochev and V. A. Tsupin},
     title = {Asymptotic soliton-like solutions of the nonlinear {Schrd\ensuremath{\ddot{}}inger} equation with variable coefficients},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {42--53},
     year = {1983},
     volume = {56},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a3/}
}
TY  - JOUR
AU  - V. Yu. Subochev
AU  - V. A. Tsupin
TI  - Asymptotic soliton-like solutions of the nonlinear Schrd̈inger equation with variable coefficients
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 42
EP  - 53
VL  - 56
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a3/
LA  - ru
ID  - TMF_1983_56_1_a3
ER  - 
%0 Journal Article
%A V. Yu. Subochev
%A V. A. Tsupin
%T Asymptotic soliton-like solutions of the nonlinear Schrd̈inger equation with variable coefficients
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 42-53
%V 56
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a3/
%G ru
%F TMF_1983_56_1_a3
V. Yu. Subochev; V. A. Tsupin. Asymptotic soliton-like solutions of the nonlinear Schrd̈inger equation with variable coefficients. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 42-53. http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a3/

[1] Teoriya solitonov, ed. Novikov S. P., Nauka, M., 1980 | MR

[2] Grimshaw R., Proc. Roy. Soc. Lond., A368 (1979), 377–388 | DOI | MR | Zbl

[3] Maslov V. P., Operatornye metody, Nauka, M., 1973 | MR

[4] Maslov V. P., Kompleksnyi metod VKB v nelineinykh uravneniyakh, Nauka, M., 1977 | MR

[5] Maslov V. P., Tsupin V. A., DAN SSSR, 246:2 (1979), 298–300 | MR | Zbl

[6] Maslov V. P., Omelyanov G. A., UMN, 36:3(219) (1981), 63–126 | MR | Zbl

[7] Maslov V. P., Tsupin V. A., Sovremennye problemy matematiki, 8, VINITI, 1977, 273–308

[8] Tsupin V. A., UMN, 33:3(201) (1978), 121–122

[9] Maslov V. P., Tsupin V. A., UMN, 34:1 (205) (1979), 235–236 | MR | Zbl

[10] Maslov V. P., Tsupin V. A., UMN, 34:5(209) (1979), 239

[11] Maslov V. P., Tsupin V. A., UMN, 35:5(215) (1980), 218–219

[12] Dobrohotov S. Yu., Maslov V. P., “Multyphase asymptotics of nonlinear partial differential equations with a small parameter”, Sov. Rev., Ser. C Math. Phys., v. 3, Overseas publ., Amsterdam, 1982 | MR