Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FAA_1989_23_4_a0, author = {R. F. Bikbaev}, title = {Korteweg--de {Vries} equation with finite-gap boundary conditions, and the {Whitham} deformations of {Riemann} surfaces}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {1--10}, publisher = {mathdoc}, volume = {23}, number = {4}, year = {1989}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a0/} }
TY - JOUR AU - R. F. Bikbaev TI - Korteweg--de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1989 SP - 1 EP - 10 VL - 23 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a0/ LA - ru ID - FAA_1989_23_4_a0 ER -
%0 Journal Article %A R. F. Bikbaev %T Korteweg--de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces %J Funkcionalʹnyj analiz i ego priloženiâ %D 1989 %P 1-10 %V 23 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a0/ %G ru %F FAA_1989_23_4_a0
R. F. Bikbaev. Korteweg--de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 23 (1989) no. 4, pp. 1-10. http://geodesic.mathdoc.fr/item/FAA_1989_23_4_a0/
[1] Zakharov V.E., Manakov S.V., Novikov S.P., Pitaevskii L.P., Teoriya solitonov, Nauka, M., 1980 | MR
[2] Bikbaev R.F,, Sharipov R.A., “Vremennaya asimptotika pri $t\to\infty$ zadachi Koshi dlya uravneniya KdF s konechnozonnymi granichnymi usloviyami”, TMF, 78:3 (1989), 345–356 | MR | Zbl
[3] Bikbaev R.F., Ob uravnenii KdF s konechnozonnymi granichnymi usloviyami, Preprint, BNTs UrO AN SSSR, 1988 | MR
[4] Gurevich A.V., Pitaevskii L.P., “Nestatsionarnaya struktura besstolknovitelnoi udarnoi volny”, ZhETF, 65:2 (8) (1973), 590–604 | MR
[5] Uizem Dzh., Lineinye i nelineinye volny, Mir, M., 1977
[6] Lax P.D., Levermore C.D., “The smaU dispersion limit of the KdV equation III”, Comm. Pure Appl. Math., 1983, no. 6, 800–829 | MR
[7] Avilov B.V., Novikov S.P., “Evolyutsiya uizemovskoi zony v teorii KdF”, DAN SSSR, 294:2 (1987), 325–329 | MR
[8] Khruslov E.Ya., “Asimptotika resheniya zadachi Koshi dlya uravneniya KdF s nachalnymi dannymi tipa stupenki”, Mat. sb., 99 (141):2 (1976), 261–281 | MR | Zbl
[9] Kotlyarov V.P., Khruslov E.Ya., Asimptoticheskie solitony modifitsirovannogo uravneniya KdF, Preprint 24-86, FTINT AN USSR, Kharkov, 1986
[10] Venakides S., “Long-time asymptotics of the KdV equation”, Trans. of Amer. Math. Soc., 293, no. 1, 1986 | DOI | MR | Zbl
[11] Bikbaev R.F., Novokshenov V.Ju., “Self-similar solutions of the Whitham equations, and KdV equation with f.-g. boundary conditions”, Proc. of the III Intern. Workshop (Kiev, 1987), 1, 1988, 32–35 | MR
[12] Flaschka H., Forest M.G., McLaughlin D., “Multi-phase averaging and the inverse spectral fransform of KdV equation”, Comm. Pure Appl. Math., 33:6 (1980), 739–784 | DOI | MR | Zbl
[13] Dobrokhotov S.Yu., Maslov V.P., Sovremennye problemy matematiki, 15, M., 1980, 3–94 | MR | Zbl
[14] Firsova N.E., “O reshenii zadachi Koshi dlya uravneniya KdV s nachalnymi dannymi, yavlyayuschimisya summoi periodicheskoi i bystroubyvayuschei funktsiei”, Mat. sb., 135(177):2 (1988), 261–268 | Zbl
[15] Bikbaev R.F., Novokshenov V.Yu., “Uravnenie Kortevega–de Friza s konechnozonnymi granichnymi usloviyami i avtomodelnye resheniya uravnenii Uizema”, Asimptoticheskie svoistva reshenii differents. uravnenii, Ufa, 1989
[16] Levermore C.D., Comm. in Part. Diff. Equations, 13:4 (1988), 495–511 | DOI | MR
[17] Bikbaev P.F., “Giperbolicheskie sistemy Uizema i nelineinye integriruemye uravneniya”, Zap. nauch. sem. LOMI, 180, 1989, 3–17 | MR
[18] Rozhdestvenskii B.L., Yanenko N.N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR | Zbl
[19] Fedoryuk M.V., Metod perevala, Nauka, M., 1977 | MR
[20] Its A.R., ““Izomonodromnye” resheniya uravneniya nulevoi krivizny”, Izv. AN SSSR. Ser. Mat., 49:3 (1985), 530–565 | MR | Zbl