Geodesic
Spatial dispersion of nonlinearity and stability of multidimensional solitons
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 226-232 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the framework of the modified nonlinear Schrödinger equation it is shown that one of the mechanisms ensuring the existence of stable multidimensional solitons is nonlocality of nonlinear interaction. Degeneracy of the quasiparticle dispersion law has an analogous effect on the stability of non-one-dimensional solitons. 
@article{TMF_1985_64_2_a4,
     author = {S. K. Turitsyn},
     title = {Spatial dispersion of nonlinearity and stability of multidimensional solitons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {226--232},
     year = {1985},
     volume = {64},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a4/}
}
TY  - JOUR
AU  - S. K. Turitsyn
TI  - Spatial dispersion of nonlinearity and stability of multidimensional solitons
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 226
EP  - 232
VL  - 64
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a4/
LA  - ru
ID  - TMF_1985_64_2_a4
ER  - 
%0 Journal Article
%A S. K. Turitsyn
%T Spatial dispersion of nonlinearity and stability of multidimensional solitons
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 226-232
%V 64
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a4/
%G ru
%F TMF_1985_64_2_a4
S. K. Turitsyn. Spatial dispersion of nonlinearity and stability of multidimensional solitons. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 226-232. http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a4/

[1] Bullaf R., Kodri F. (red.), Solitony, Mir, M., 1983 | MR

[2] Karpman V. I., Nelineinye volny v dispergiruyuschikh sredakh, Nauka, M., 1973 | MR

[3] Kolokolov A. A., Vakhitov N. G., Izv. VUZov. Radiofizika, 1973, no. 16, 1020–1031

[4] Baryakhtar V. G., Kvirikadze A. G., Popov V. A., ZhETF, 59:3 (1970), 898–907

[5] Litvak A. G., Mironov V. A., Fraiman G. M., Yunakovskii A. D., Fizika plazmy, 1975, no. 1, 60–71 | MR

[6] Braun Dzh., Dzhekson A., Nuklon-nuklonnye vzaimodeistviya, Atomizdat, M., 1979

[7] Witten T., Nucl. Phys., B160:1 (1979), 57–115 | DOI | MR

[8] Zakharov V. E., Kuznetsov E. A., ZhETF, 66 (1974), 594–600

[9] Laedke E. W., Spatschek K. H., Phys. Fluids, 23 (1980), 44–61 | DOI | MR

[10] Gorshkov K. A., Mironov V. A., Sergeev A. M., “Svyazannye statsionarnye solitonnye obrazovaniya”, Nelineinye volny. Samoorganizatsiya, Nauka, M., 1983 | MR | Zbl

[11] Zakharov V. E., Kuznetsov E. A., Rubenchik A. M., Soliton stability, Preprint No 199, IAE, Novosibirsk, 1983

[12] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR

[13] Bogolyubskaya A. A., Bogolyubskii I. L., TMF, 54:2 (1983), 258–267

[14] 't Hooft G., Nucl. Phys., B72:3 (1974), 461–473 | DOI

[15] Ivanov B. A., Kosevich A. M., Fizika nizkikh temperatur, 9:8 (1983), 845–852