Geodesic
Perturbation of the Korteweg–de Vries soliton
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 62-76 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For an arbitrary perturbation operator, equations for the modulation of the parameters of the KdV soiiton are obtained. The asymptotic behavior of the first correction is investigated, and the influence of the leading term of this asymptotic behavior on the soliton phase shift is demonstrated. 
@article{TMF_1992_92_1_a4,
     author = {L. A. Kalyakin},
     title = {Perturbation of the {Korteweg{\textendash}de} {Vries} soliton},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {62--76},
     year = {1992},
     volume = {92},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a4/}
}
TY  - JOUR
AU  - L. A. Kalyakin
TI  - Perturbation of the Korteweg–de Vries soliton
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 62
EP  - 76
VL  - 92
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a4/
LA  - ru
ID  - TMF_1992_92_1_a4
ER  - 
%0 Journal Article
%A L. A. Kalyakin
%T Perturbation of the Korteweg–de Vries soliton
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 62-76
%V 92
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a4/
%G ru
%F TMF_1992_92_1_a4
L. A. Kalyakin. Perturbation of the Korteweg–de Vries soliton. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 62-76. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a4/

[1] S. P. Novikov(red.), Teoriya solitonov. Metod obratnoi zadachi, Nauka, M., 1980 | MR

[2] Ablovits S. A., Sigur X., Solitony i metod obratnoi zadachi, Mir, M., 1987 | MR

[3] Nyuell A., Solitony, eds. R. Bullaf, F. Kodri, Mir, M., 1983, 193–269 | MR

[4] Kaup D. J., SIAM J. Appl. Math., 31 (1976), 121–123 | DOI | MR

[5] Kaup D. J., Newell A. S., Proc. Roy. Soc. Lond. A, 361 (1978), 413–446 | DOI

[6] Karpman V. I., Maslov E. D., ZhETF, 73:8 (1977), 538–559

[7] Keener J. P., McLoughlin D., Phys. Rev. A, 16:2 (1977), 777–790 | DOI | MR

[8] McLaughlin D. W., Scott A. C., Phys. Rev. A, 18:4 (1978), 1652–1680 | DOI | MR

[9] Sachs R. L., SIAM J. Mai. Anal., 14:4 (1983), 674–680 | DOI | MR

[10] Sachs R. L., SIAM J. Mat. Anal., 15:3 (1984), 674–683 | MR

[11] Grimshau R., Proc. Roy. Soc. Lond. A, 368 (1979), 359–375 | DOI | MR

[12] Vakulenko S. A., Zap. nauchn. semin. LOMI, 89, 1979, 91–96 | MR | Zbl

[13] Molotkov I. A., Vakulenko S. A., Zap. nauchn. semin. LOMI, 99, 1980, 64–73 | MR | Zbl

[14] Samsonov A. M., Nonlinear and turbulent processes in physics, v. 2, Harwood Acad. Publ., 1984, 1029–1035 | MR

[15] Bogolyubov H. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR

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

[17] Dobrokhotov S. Yu., Maslov V. P., Sovremennye problemy matematiki. Itogi nauki i tekhniki, 15, VINITI, M., 1980, 3–94 | MR

[18] Krichever I. M., Funk. analiz i ego prilozh., 22:3 (1988), 37–52 | MR | Zbl

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

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

[21] Maslov V. P., Omelyanov G. A., Sib. mat. zhurn., 24:5 (1983), 172–182 | MR | Zbl

[22] Kaup D. J., J. Math. Anal. Appl., 54:3 (1976), 849–864 | DOI | MR | Zbl

[23] Gerdzhikov V. S., Khristov E. Kh., Matem. zametki, 28:4 (1980), 501–512 | MR | Zbl

[24] Khristov E. Kh., Diff. uravn., 19:9 (1983), 1548–1557 | MR | Zbl

[25] Arkadev V. A., Pogrebkov A. K., Polivanov M. K., TMF, 72:3 (1987), 323–339 | MR

[26] Fedoryuk M. V., Metod perevala, Nauka, M., 1977 | MR